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25585068 = 22317167751
BaseRepresentation
bin110000110011…
…0010110101100
31210010212010010
41201212112230
523022210233
62312213220
7430320015
oct141462654
953125103
1025585068
1113495493
12869a210
1353ba5c2
14358000c
1523a5b63
hex18665ac

25585068 has 48 divisors (see below), whose sum is σ = 63673344. Its totient is φ = 7968000.

The previous prime is 25585067. The next prime is 25585069. The reversal of 25585068 is 86058552.

It is an interprime number because it is at equal distance from previous prime (25585067) and next prime (25585069).

It is not an unprimeable number, because it can be changed into a prime (25585067) 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, 33693 + ... + 34443.

It is an arithmetic number, because the mean of its divisors is an integer number (1326528).

Almost surely, 225585068 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 25585068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31836672).

25585068 is an abundant number, since it is smaller than the sum of its proper divisors (38088276).

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

25585068 is a wasteful number, since it uses less digits than its factorization.

25585068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 25585068 is about 5058.1684432213. The cubic root of 25585068 is about 294.6652067066.

It can be divided in two parts, 2558 and 5068, that added together give a triangular number (7626 = T123).

The spelling of 25585068 in words is "twenty-five million, five hundred eighty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 334 501 668 751 1002 1502 2004 2253 2839 3004 4506 5678 8517 9012 11356 12767 17034 25534 34068 38301 51068 76602 125417 153204 250834 376251 501668 752502 1505004 2132089 4264178 6396267 8528356 12792534 25585068