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25803264 = 293107157
BaseRepresentation
bin110001001101…
…1101000000000
31210112221102110
41202123220000
523101201024
62321015320
7432216114
oct142335000
953487373
1025803264
1113624413
128784540
135465a06
1435d9744
1523ea629
hex189ba00

25803264 has 80 divisors (see below), whose sum is σ = 69825888. Its totient is φ = 8466432.

The previous prime is 25803247. The next prime is 25803269. The reversal of 25803264 is 46230852.

It is not an unprimeable number, because it can be changed into a prime (25803269) 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, 164274 + ... + 164430.

Almost surely, 225803264 is an apocalyptic number.

25803264 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 25803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34912944).

25803264 is an abundant number, since it is smaller than the sum of its proper divisors (44022624).

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

25803264 is a wasteful number, since it uses less digits than its factorization.

25803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 25803264 is about 5079.6913292050. The cubic root of 25803264 is about 295.5004967339.

The spelling of 25803264 in words is "twenty-five million, eight hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 157 192 214 256 314 321 384 428 471 512 628 642 768 856 942 1256 1284 1536 1712 1884 2512 2568 3424 3768 5024 5136 6848 7536 10048 10272 13696 15072 16799 20096 20544 27392 30144 33598 40192 41088 50397 54784 60288 67196 80384 82176 100794 120576 134392 164352 201588 241152 268784 403176 537568 806352 1075136 1612704 2150272 3225408 4300544 6450816 8601088 12901632 25803264