Search a number
-
+
925875864 = 233237973583
BaseRepresentation
bin110111001011111…
…011111010011000
32101112012100220200
4313023323322120
53344011011424
6231512422200
731641546354
oct6713737230
92345170820
10925875864
114356a6271
1221a0a7960
13119a86454
148ad74464
155643d8c9
hex372fbe98

925875864 has 96 divisors (see below), whose sum is σ = 2602629120. Its totient is φ = 297105408.

The previous prime is 925875859. The next prime is 925875877. The reversal of 925875864 is 468578529.

925875864 is a `hidden beast` number, since 9 + 2 + 58 + 7 + 586 + 4 = 666.

It is a super-2 number, since 2×9258758642 = 1714492231075492992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 925875864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256617 + ... + 260199.

It is an arithmetic number, because the mean of its divisors is an integer number (27110720).

Almost surely, 2925875864 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 925875864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301314560).

925875864 is an abundant number, since it is smaller than the sum of its proper divisors (1676753256).

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

925875864 is a wasteful number, since it uses less digits than its factorization.

925875864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3722 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 925875864 is about 30428.2083600070. The cubic root of 925875864 is about 974.6550132526.

The spelling of 925875864 in words is "nine hundred twenty-five million, eight hundred seventy-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 97 111 148 194 222 291 296 333 388 444 582 666 776 873 888 1164 1332 1746 2328 2664 3492 3583 3589 6984 7166 7178 10749 10767 14332 14356 21498 21534 28664 28712 32247 32301 42996 43068 64494 64602 85992 86136 128988 129204 132571 257976 258408 265142 347551 397713 530284 695102 795426 1042653 1060568 1193139 1390204 1590852 2085306 2386278 2780408 3127959 3181704 4170612 4772556 6255918 8341224 9545112 12511836 12859387 25023672 25718774 38578161 51437548 77156322 102875096 115734483 154312644 231468966 308625288 462937932 925875864