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25292268 = 223219103359
BaseRepresentation
bin110000001111…
…0110111101100
31202120222110200
41200132313230
522433323033
62302033500
7424660251
oct140366754
952528420
1025292268
1113305501
128578890
135317251
143505428
152349013
hex181edec

25292268 has 72 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 7887456.

The previous prime is 25292261. The next prime is 25292269. The reversal of 25292268 is 86229252.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25292261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70273 + ... + 70631.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 225292268 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 25292268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

25292268 is an abundant number, since it is smaller than the sum of its proper divisors (42848532).

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

25292268 is a wasteful number, since it uses less digits than its factorization.

25292268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 25292268 is about 5029.1418751115. The cubic root of 25292268 is about 293.5368244810.

The spelling of 25292268 in words is "twenty-five million, two hundred ninety-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 342 359 412 618 684 718 927 1077 1236 1436 1854 1957 2154 3231 3708 3914 4308 5871 6462 6821 7828 11742 12924 13642 17613 20463 23484 27284 35226 36977 40926 61389 70452 73954 81852 110931 122778 147908 221862 245556 332793 443724 665586 702563 1331172 1405126 2107689 2810252 4215378 6323067 8430756 12646134 25292268