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252052572 = 223291494861
BaseRepresentation
bin11110000011000…
…00010001011100
3122120021121010110
433001200101130
51004011140242
641002210020
76150261102
oct1701402134
9576247113
10252052572
1111a305912
12704b3910
13402b0a45
1425691c72
15171dc39c
hexf06045c

252052572 has 48 divisors (see below), whose sum is σ = 612612000. Its totient is φ = 80559360.

The previous prime is 252052553. The next prime is 252052583. The reversal of 252052572 is 275250252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49422 + ... + 54282.

It is an arithmetic number, because the mean of its divisors is an integer number (12762750).

Almost surely, 2252052572 is an apocalyptic number.

252052572 is the 12963-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252052572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306306000).

252052572 is an abundant number, since it is smaller than the sum of its proper divisors (360559428).

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

252052572 is a wasteful number, since it uses less digits than its factorization.

252052572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 252052572 is about 15876.1636423917. The cubic root of 252052572 is about 631.6798804757.

The spelling of 252052572 in words is "two hundred fifty-two million, fifty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 149 174 298 348 447 596 894 1788 4321 4861 8642 9722 12963 14583 17284 19444 25926 29166 51852 58332 140969 281938 422907 563876 724289 845814 1448578 1691628 2172867 2897156 4345734 8691468 21004381 42008762 63013143 84017524 126026286 252052572