Search a number
-
+
4028214260 = 2257172958363
BaseRepresentation
bin1111000000011001…
…1010101111110100
3101101201210111010202
43300012122233310
531222210324020
61503414340032
7201552153620
oct36006325764
911351714122
104028214260
111787904aa4
1294505a618
134c271c945
142a2dba180
15188999e75
hexf019abf4

4028214260 has 96 divisors (see below), whose sum is σ = 10589564160. Its totient is φ = 1255016448.

The previous prime is 4028214251. The next prime is 4028214269. The reversal of 4028214260 is 624128204.

It is an interprime number because it is at equal distance from previous prime (4028214251) and next prime (4028214269).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028214269) 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, 39839 + ... + 98201.

It is an arithmetic number, because the mean of its divisors is an integer number (110307960).

Almost surely, 24028214260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028214260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294782080).

4028214260 is an abundant number, since it is smaller than the sum of its proper divisors (6561349900).

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

4028214260 is a wasteful number, since it uses less digits than its factorization.

4028214260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58425 (or 58423 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 4028214260 is about 63468.2145644574. The cubic root of 4028214260 is about 1591.1245897379.

The spelling of 4028214260 in words is "four billion, twenty-eight million, two hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 29 34 35 58 68 70 85 116 119 140 145 170 203 238 290 340 406 476 493 580 595 812 986 1015 1190 1972 2030 2380 2465 3451 4060 4930 6902 9860 13804 17255 34510 58363 69020 116726 233452 291815 408541 583630 817082 992171 1167260 1634164 1692527 1984342 2042705 3385054 3968684 4085410 4960855 6770108 6945197 8170820 8462635 9921710 11847689 13890394 16925270 19843420 23695378 27780788 28772959 33850540 34725985 47390756 57545918 59238445 69451970 115091836 118476890 138903940 143864795 201410713 236953780 287729590 402821426 575459180 805642852 1007053565 2014107130 4028214260