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52014984 = 2337409757
BaseRepresentation
bin1100011001101…
…0111110001000
310121212122010220
43012122332020
5101303434414
65054510040
71201056120
oct306327610
9117778126
1052014984
11273a769a
1215505320
13aa125c8
146c9dc80
154876ca9
hex319af88

52014984 has 64 divisors (see below), whose sum is σ = 149174400. Its totient is φ = 14805504.

The previous prime is 52014979. The next prime is 52014997. The reversal of 52014984 is 48941025.

52014984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68334 + ... + 69090.

It is an arithmetic number, because the mean of its divisors is an integer number (2330850).

Almost surely, 252014984 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 52014984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74587200).

52014984 is an abundant number, since it is smaller than the sum of its proper divisors (97159416).

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

52014984 is a wasteful number, since it uses less digits than its factorization.

52014984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 52014984 is about 7212.1414295617. The cubic root of 52014984 is about 373.2869634869.

The spelling of 52014984 in words is "fifty-two million, fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 757 818 1227 1514 1636 2271 2454 2863 3028 3272 4542 4908 5299 5726 6056 8589 9084 9816 10598 11452 15897 17178 18168 21196 22904 31794 34356 42392 63588 68712 127176 309613 619226 928839 1238452 1857678 2167291 2476904 3715356 4334582 6501873 7430712 8669164 13003746 17338328 26007492 52014984