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252943808 = 26131916001
BaseRepresentation
bin11110001001110…
…01110111000000
3122121221212200012
433010321313000
51004223200213
641033244052
76160662335
oct1704716700
9577855605
10252943808
1111a864477
1270863628
13405335c0
142584498c
15173164a8
hexf139dc0

252943808 has 56 divisors (see below), whose sum is σ = 569031120. Its totient is φ = 110592000.

The previous prime is 252943807. The next prime is 252943841. The reversal of 252943808 is 808349252.

252943808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252943807) 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, 7808 + ... + 23808.

It is an arithmetic number, because the mean of its divisors is an integer number (10161270).

Almost surely, 2252943808 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 252943808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284515560).

252943808 is an abundant number, since it is smaller than the sum of its proper divisors (316087312).

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

252943808 is a wasteful number, since it uses less digits than its factorization.

252943808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16045 (or 16035 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 252943808 is about 15904.2072421105. The cubic root of 252943808 is about 632.4235264028.

The spelling of 252943808 in words is "two hundred fifty-two million, nine hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 15808 16001 32002 64004 128008 208013 256016 304019 416026 512032 608038 832052 1024064 1216076 1664104 2432152 3328208 3952247 4864304 6656416 7904494 9728608 13312832 15808988 19457216 31617976 63235952 126471904 252943808