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425999904 = 253111093701
BaseRepresentation
bin11001011001000…
…011111000100000
31002200121001000020
4121121003320200
51333023444104
6110134353440
713361640141
oct3131037040
91080531006
10425999904
111a9514040
12ba7bb880
136a345965
1440811ac8
15275ec2d9
hex19643e20

425999904 has 96 divisors (see below), whose sum is σ = 1231433280. Its totient is φ = 127872000.

The previous prime is 425999891. The next prime is 425999909. The reversal of 425999904 is 409999524.

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

It is not an unprimeable number, because it can be changed into a prime (425999909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113254 + ... + 116954.

It is an arithmetic number, because the mean of its divisors is an integer number (12827430).

Almost surely, 2425999904 is an apocalyptic number.

425999904 is a gapful number since it is divisible by the number (44) 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 425999904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615716640).

425999904 is an abundant number, since it is smaller than the sum of its proper divisors (805433376).

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

425999904 is a wasteful number, since it uses less digits than its factorization.

425999904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 425999904 is about 20639.7651149426. The cubic root of 425999904 is about 752.4364638431.

The spelling of 425999904 in words is "four hundred twenty-five million, nine hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 109 132 176 218 264 327 352 436 528 654 872 1056 1199 1308 1744 2398 2616 3488 3597 3701 4796 5232 7194 7402 9592 10464 11103 14388 14804 19184 22206 28776 29608 38368 40711 44412 57552 59216 81422 88824 115104 118432 122133 162844 177648 244266 325688 355296 403409 488532 651376 806818 977064 1210227 1302752 1613636 1954128 2420454 3227272 3908256 4437499 4840908 6454544 8874998 9681816 12909088 13312497 17749996 19363632 26624994 35499992 38727264 53249988 70999984 106499976 141999968 212999952 425999904