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25970064 = 243312563
BaseRepresentation
bin110001100010…
…0010110010000
31210212102020020
41203010112100
523122020224
62324343440
7433512321
oct143042620
953772206
1025970064
111372876a
128844b80
1354c3903
143640448
15242ec79
hex18c4590

25970064 has 60 divisors (see below), whose sum is σ = 69446448. Its totient is φ = 8362560.

The previous prime is 25970057. The next prime is 25970069. The reversal of 25970064 is 46007952.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25970069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45847 + ... + 46409.

Almost surely, 225970064 is an apocalyptic number.

25970064 is a gapful number since it is divisible by the number (24) 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 25970064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34723224).

25970064 is an abundant number, since it is smaller than the sum of its proper divisors (43476384).

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

25970064 is a wasteful number, since it uses less digits than its factorization.

25970064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 25970064 is about 5096.0832018326. The cubic root of 25970064 is about 296.1358640958.

The spelling of 25970064 in words is "twenty-five million, nine hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 563 744 961 1126 1488 1689 1922 2252 2883 3378 3844 4504 5766 6756 7688 9008 11532 13512 15376 17453 23064 27024 34906 46128 52359 69812 104718 139624 209436 279248 418872 541043 837744 1082086 1623129 2164172 3246258 4328344 6492516 8656688 12985032 25970064