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252364260 = 22354998429
BaseRepresentation
bin11110000101011…
…00010111100100
3122120212102200110
433002230113210
51004101124020
641013013020
76153026601
oct1702542744
9576772613
10252364260
1111a4a9005
1270624170
134038c885
14257336a8
151724e8e0
hexf0ac5e4

252364260 has 48 divisors (see below), whose sum is σ = 708120000. Its totient is φ = 67154304.

The previous prime is 252364249. The next prime is 252364271. The reversal of 252364260 is 62463252.

252364260 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 (252364249) and next prime (252364271).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25726 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (14752500).

Almost surely, 2252364260 is an apocalyptic number.

252364260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252364260 is an abundant number, since it is smaller than the sum of its proper divisors (455755740).

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

252364260 is a wasteful number, since it uses less digits than its factorization.

252364260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 252364260 is about 15885.9768349321. The cubic root of 252364260 is about 631.9401514923.

The spelling of 252364260 in words is "two hundred fifty-two million, three hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 499 998 1497 1996 2495 2994 4990 5988 7485 8429 9980 14970 16858 25287 29940 33716 42145 50574 84290 101148 126435 168580 252870 505740 4206071 8412142 12618213 16824284 21030355 25236426 42060710 50472852 63091065 84121420 126182130 252364260