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25997088 = 2531337563
BaseRepresentation
bin110001100101…
…0111100100000
31210220210022010
41203022330200
523123401323
62325112520
7433654155
oct143127440
953823263
1025997088
1113746aa7
128858740
135502cc0
14364a22c
152437c93
hex18caf20

25997088 has 96 divisors (see below), whose sum is σ = 75612096. Its totient is φ = 7769088.

The previous prime is 25997087. The next prime is 25997093. The reversal of 25997088 is 88079952.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25997087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45895 + ... + 46457.

It is an arithmetic number, because the mean of its divisors is an integer number (787626).

Almost surely, 225997088 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 25997088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37806048).

25997088 is an abundant number, since it is smaller than the sum of its proper divisors (49615008).

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

25997088 is a wasteful number, since it uses less digits than its factorization.

25997088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 25997088 is about 5098.7339605043. The cubic root of 25997088 is about 296.2385464425.

The spelling of 25997088 in words is "twenty-five million, nine hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 563 592 624 888 962 1126 1184 1248 1443 1689 1776 1924 2252 2886 3378 3552 3848 4504 5772 6756 7319 7696 9008 11544 13512 14638 15392 18016 20831 21957 23088 27024 29276 41662 43914 46176 54048 58552 62493 83324 87828 117104 124986 166648 175656 234208 249972 270803 333296 351312 499944 541606 666592 702624 812409 999888 1083212 1624818 1999776 2166424 3249636 4332848 6499272 8665696 12998544 25997088