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52979652 = 223211353379
BaseRepresentation
bin1100101000011…
…0011111000100
310200200122102100
43022012133010
5102030322102
65131312100
71212214425
oct312063704
9120618370
1052979652
11279a6440
12158ab630
13ac8c70b
14707164c
1549b7a1c
hex32867c4

52979652 has 72 divisors (see below), whose sum is σ = 146895840. Its totient is φ = 15966720.

The previous prime is 52979639. The next prime is 52979683. The reversal of 52979652 is 25697925.

52979652 is a `hidden beast` number, since 529 + 79 + 6 + 52 = 666.

It is a super-2 number, since 2×529796522 = 5613687052082208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52979598 and 52979607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139599 + ... + 139977.

It is an arithmetic number, because the mean of its divisors is an integer number (2040220).

Almost surely, 252979652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52979652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73447920).

52979652 is an abundant number, since it is smaller than the sum of its proper divisors (93916188).

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

52979652 is a wasteful number, since it uses less digits than its factorization.

52979652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 52979652 is about 7278.7122487429. The cubic root of 52979652 is about 375.5804982610.

The spelling of 52979652 in words is "fifty-two million, nine hundred seventy-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 353 379 396 706 758 1059 1137 1412 1516 2118 2274 3177 3411 3883 4169 4236 4548 6354 6822 7766 8338 11649 12507 12708 13644 15532 16676 23298 25014 34947 37521 46596 50028 69894 75042 133787 139788 150084 267574 401361 535148 802722 1204083 1471657 1605444 2408166 2943314 4414971 4816332 5886628 8829942 13244913 17659884 26489826 52979652