Search a number
-
+
4286079280 = 2457193311217
BaseRepresentation
bin1111111101111000…
…0110000100110000
3102001201000101110001
43333132012010300
532234214014110
61545145315344
7211133033650
oct37736060460
912051011401
104286079280
1118aa41a88a
129b7495b54
13533c871b2
142c9342360
151a143463a
hexff786130

4286079280 has 160 divisors (see below), whose sum is σ = 12034229760. Its totient is φ = 1386823680.

The previous prime is 4286079271. The next prime is 4286079289. The reversal of 4286079280 is 829706824.

It is an interprime number because it is at equal distance from previous prime (4286079271) and next prime (4286079289).

It is a super-4 number, since 4×42860792804 (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4286079280.

It is not an unprimeable number, because it can be changed into a prime (4286079289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3521232 + ... + 3522448.

It is an arithmetic number, because the mean of its divisors is an integer number (75213936).

Almost surely, 24286079280 is an apocalyptic number.

4286079280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286079280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017114880).

4286079280 is an abundant number, since it is smaller than the sum of its proper divisors (7748150480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4286079280 is a wasteful number, since it uses less digits than its factorization.

4286079280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 4286079280 is about 65468.1547013508. The cubic root of 4286079280 is about 1624.3766325372.

The spelling of 4286079280 in words is "four billion, two hundred eighty-six million, seventy-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 331 380 532 560 662 665 760 1064 1217 1324 1330 1520 1655 2128 2317 2434 2648 2660 3310 4634 4868 5296 5320 6085 6289 6620 8519 9268 9736 10640 11585 12170 12578 13240 17038 18536 19472 23123 23170 24340 25156 26480 31445 34076 37072 42595 44023 46246 46340 48680 50312 62890 68152 85190 88046 92492 92680 97360 100624 115615 125780 136304 161861 170380 176092 184984 185360 220115 231230 251560 323722 340760 352184 369968 402827 440230 462460 503120 647444 681520 704368 805654 809305 880460 924920 1294888 1611308 1618610 1760920 1849840 2014135 2589776 2819789 3222616 3237220 3521840 4028270 5639578 6445232 6474440 7653713 8056540 11279156 12948880 14098945 15307426 16113080 22558312 28197890 30614852 32226160 38268565 45116624 53575991 56395780 61229704 76537130 107151982 112791560 122459408 153074260 214303964 225583120 267879955 306148520 428607928 535759910 612297040 857215856 1071519820 2143039640 4286079280