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252004 = 222512
BaseRepresentation
bin111101100001100100
3110210200111
4331201210
531031004
65222404
72066464
oct754144
9423614
10252004
11162375
12101a04
138a91c
1467ba4
154ea04
hex3d864

252004 has 9 divisors (see below), whose sum is σ = 442771. Its totient is φ = 125500.

The previous prime is 252001. The next prime is 252013. The reversal of 252004 is 400252.

Adding to 252004 its reverse (400252), we get a palindrome (652256).

It is a happy number.

The square root of 252004 is 502.

It is a perfect power (a square), and thus also a powerful number.

252004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 879 + ... + 1129.

252004 is a Friedman number, since it can be written as 502^(4-2-0), using all its digits and the basic arithmetic operations.

2252004 is an apocalyptic number.

252004 is the 502-nd square number.

It is an amenable number.

252004 is a deficient number, since it is larger than the sum of its proper divisors (190767).

252004 is an equidigital number, since it uses as much as digits as its factorization.

252004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 252004 is about 63.1639301737.

The spelling of 252004 in words is "two hundred fifty-two thousand, four".

Divisors: 1 2 4 251 502 1004 63001 126002 252004