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25957568 = 267134457
BaseRepresentation
bin110001100000…
…1010011000000
31210211210002102
41203001103000
523121120233
62324205532
7433431020
oct143012300
953753072
1025957568
111371a33a
1288398a8
1354bb010
143639a80
15242b1e8
hex18c14c0

25957568 has 56 divisors (see below), whose sum is σ = 63410592. Its totient is φ = 10266624.

The previous prime is 25957567. The next prime is 25957577. The reversal of 25957568 is 86575952.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (25957567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3596 + ... + 8052.

It is an arithmetic number, because the mean of its divisors is an integer number (1132332).

Almost surely, 225957568 is an apocalyptic number.

25957568 is a gapful number since it is divisible by the number (28) 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 25957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31705296).

25957568 is an abundant number, since it is smaller than the sum of its proper divisors (37453024).

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

25957568 is a wasteful number, since it uses less digits than its factorization.

25957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4479 counting only the distinct ones).

The product of its digits is 756000, while the sum is 47.

The square root of 25957568 is about 5094.8570146767. The cubic root of 25957568 is about 296.0883593041.

The spelling of 25957568 in words is "twenty-five million, nine hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 4457 5824 8914 17828 31199 35656 57941 62398 71312 115882 124796 142624 231764 249592 285248 405587 463528 499184 811174 927056 998368 1622348 1854112 1996736 3244696 3708224 6489392 12978784 25957568