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252657252 = 22334157059
BaseRepresentation
bin11110000111100…
…11111001100100
3122121102022121000
433003303321210
51004140013002
641023153300
76155360031
oct1703637144
9577368530
10252657252
1111a689151
1270745830
1340463043
14257ac388
15172ab61c
hexf0f3e64

252657252 has 48 divisors (see below), whose sum is σ = 671025600. Its totient is φ = 82163520.

The previous prime is 252657241. The next prime is 252657253. The reversal of 252657252 is 252756252.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (252657253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24102 + ... + 32957.

It is an arithmetic number, because the mean of its divisors is an integer number (13979700).

Almost surely, 2252657252 is an apocalyptic number.

It is an amenable number.

252657252 is an abundant number, since it is smaller than the sum of its proper divisors (418368348).

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

252657252 is a wasteful number, since it uses less digits than its factorization.

252657252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57113 (or 57105 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 252657252 is about 15895.1958780004. The cubic root of 252657252 is about 632.1846153233.

The spelling of 252657252 in words is "two hundred fifty-two million, six hundred fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 57059 114118 171177 228236 342354 513531 684708 1027062 1540593 2054124 2339419 3081186 4678838 6162372 7018257 9357676 14036514 21054771 28073028 42109542 63164313 84219084 126328626 252657252