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252900288 = 2632439063
BaseRepresentation
bin11110001001011…
…11001111000000
3122121212122222100
433010233033000
51004220302123
641032310400
76160421424
oct1704571700
9577778870
10252900288
1111a834803
1270842400
1340519854
1425832b84
1517308643
hexf12f3c0

252900288 has 42 divisors (see below), whose sum is σ = 724894664. Its totient is φ = 84299904.

The previous prime is 252900287. The next prime is 252900289. The reversal of 252900288 is 882009252.

252900288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252900287) and next prime (252900289).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252900287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 218956 + ... + 220107.

Almost surely, 2252900288 is an apocalyptic number.

It is an amenable number.

252900288 is an abundant number, since it is smaller than the sum of its proper divisors (471994376).

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

252900288 is a wasteful number, since it uses less digits than its factorization.

252900288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439081 (or 439068 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 252900288 is about 15902.8389918278. The cubic root of 252900288 is about 632.3872539850.

The spelling of 252900288 in words is "two hundred fifty-two million, nine hundred thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 439063 878126 1317189 1756252 2634378 3512504 3951567 5268756 7025008 7903134 10537512 14050016 15806268 21075024 28100032 31612536 42150048 63225072 84300096 126450144 252900288