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25629268 = 22717232341
BaseRepresentation
bin110000111000…
…1001001010100
31210020002202011
41201301021110
523030114033
62313154004
7430562620
oct141611124
953202664
1025629268
1113515715
1286bb904
135404762
143592180
1523b3ccd
hex1871254

25629268 has 48 divisors (see below), whose sum is σ = 56657664. Its totient is φ = 9884160.

The previous prime is 25629257. The next prime is 25629269. The reversal of 25629268 is 86292652.

It is a self number, because there is not a number n which added to its sum of digits gives 25629268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25629269) 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, 9778 + ... + 12118.

It is an arithmetic number, because the mean of its divisors is an integer number (1180368).

Almost surely, 225629268 is an apocalyptic number.

25629268 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 25629268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28328832).

25629268 is an abundant number, since it is smaller than the sum of its proper divisors (31028396).

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

25629268 is a wasteful number, since it uses less digits than its factorization.

25629268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2390 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 25629268 is about 5062.5357282690. The cubic root of 25629268 is about 294.8347940254.

The spelling of 25629268 in words is "twenty-five million, six hundred twenty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2341 2737 4682 5474 9364 10948 16387 32774 39797 53843 65548 79594 107686 159188 215372 278579 376901 557158 753802 915331 1114316 1507604 1830662 3661324 6407317 12814634 25629268