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125495904 = 25317131587
BaseRepresentation
bin1110111101011…
…10101001100000
322202010212000110
413132232221200
5224111332104
620241451320
73052461162
oct736565140
9282125013
10125495904
1164925a26
1236040b40
131cccc641
141294a932
15b03de89
hex77aea60

125495904 has 96 divisors (see below), whose sum is σ = 352066176. Its totient is φ = 39004160.

The previous prime is 125495899. The next prime is 125495933. The reversal of 125495904 is 409594521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213499 + ... + 214085.

It is an arithmetic number, because the mean of its divisors is an integer number (3667356).

Almost surely, 2125495904 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 125495904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033088).

125495904 is an abundant number, since it is smaller than the sum of its proper divisors (226570272).

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

125495904 is a wasteful number, since it uses less digits than its factorization.

125495904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 125495904 is about 11202.4954362856. The cubic root of 125495904 is about 500.6603328704.

The spelling of 125495904 in words is "one hundred twenty-five million, four hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 131 136 204 262 272 393 408 524 544 587 786 816 1048 1174 1572 1632 1761 2096 2227 2348 3144 3522 4192 4454 4696 6288 6681 7044 8908 9392 9979 12576 13362 14088 17816 18784 19958 26724 28176 29937 35632 39916 53448 56352 59874 71264 76897 79832 106896 119748 153794 159664 213792 230691 239496 307588 319328 461382 478992 615176 922764 957984 1230352 1307249 1845528 2460704 2614498 3691056 3921747 5228996 7382112 7843494 10457992 15686988 20915984 31373976 41831968 62747952 125495904