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252952064 = 293115937
BaseRepresentation
bin11110001001110…
…11111000000000
3122121222021222222
433010323320000
51004223431224
641033350212
76161025401
oct1704737000
9577867888
10252952064
1111a86a6a2
1270868368
13405372a1
14258479a8
1517318b5e
hexf13be00

252952064 has 40 divisors (see below), whose sum is σ = 521746368. Its totient is φ = 122388480.

The previous prime is 252952043. The next prime is 252952067. The reversal of 252952064 is 460259252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252952067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7904 + ... + 23840.

Almost surely, 2252952064 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 252952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260873184).

252952064 is an abundant number, since it is smaller than the sum of its proper divisors (268794304).

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

252952064 is an equidigital number, since it uses as much as digits as its factorization.

252952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15986 (or 15970 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 252952064 is about 15904.4667939545. The cubic root of 252952064 is about 632.4304070243.

The spelling of 252952064 in words is "two hundred fifty-two million, nine hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 15872 15937 31874 63748 127496 254992 494047 509984 988094 1019968 1976188 2039936 3952376 4079872 7904752 8159744 15809504 31619008 63238016 126476032 252952064