Search a number
-
+
425876880 = 2435111312409
BaseRepresentation
bin11001011000100…
…101110110010000
31002200100210020210
4121120211312100
51333011030010
6110132004120
713360615362
oct3130456620
91080323223
10425876880
111a943a670
12ba760640
136a301970
14407bcd32
15275c5b20
hex19625d90

425876880 has 160 divisors (see below), whose sum is σ = 1551150720. Its totient is φ = 95293440.

The previous prime is 425876879. The next prime is 425876897. The reversal of 425876880 is 88678524.

It is a super-3 number, since 3×4258768803 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28116 + ... + 40524.

It is an arithmetic number, because the mean of its divisors is an integer number (9694692).

Almost surely, 2425876880 is an apocalyptic number.

425876880 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 425876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775575360).

425876880 is an abundant number, since it is smaller than the sum of its proper divisors (1125273840).

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

425876880 is a wasteful number, since it uses less digits than its factorization.

425876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12443 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 425876880 is about 20636.7846332708. The cubic root of 425876880 is about 752.3640251289.

The spelling of 425876880 in words is "four hundred twenty-five million, eight hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 12409 17160 24818 34320 37227 49636 62045 74454 99272 124090 136499 148908 161317 186135 198544 248180 272998 297816 322634 372270 409497 483951 496360 545996 595632 645268 682495 744540 806585 818994 967902 992720 1091992 1290536 1364990 1489080 1613170 1637988 1774487 1935804 2047485 2183984 2419755 2581072 2729980 2978160 3226340 3275976 3548974 3871608 4094970 4839510 5323461 5459960 6452680 6551952 7097948 7743216 8189940 8872435 9679020 10646922 10919920 12905360 14195896 16379880 17744870 19358040 21293844 26617305 28391792 32759760 35489740 38716080 42587688 53234610 70979480 85175376 106469220 141958960 212938440 425876880