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52964472 = 23311439457
BaseRepresentation
bin1100101000001…
…0110001111000
310200122212121010
43022002301320
5102024330342
65131113520
71212122241
oct312026170
9120585533
1052964472
1127995aa0
12158a28a0
13ac85832
147069cc8
1549b329c
hex3282c78

52964472 has 64 divisors (see below), whose sum is σ = 145094400. Its totient is φ = 15978240.

The previous prime is 52964453. The next prime is 52964521. The reversal of 52964472 is 27446925.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52964472.

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, 115668 + ... + 116124.

It is an arithmetic number, because the mean of its divisors is an integer number (2267100).

Almost surely, 252964472 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 52964472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72547200).

52964472 is an abundant number, since it is smaller than the sum of its proper divisors (92129928).

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

52964472 is a wasteful number, since it uses less digits than its factorization.

52964472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 52964472 is about 7277.6694071660. The cubic root of 52964472 is about 375.5446237548.

The spelling of 52964472 in words is "fifty-two million, nine hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 439 457 878 914 1317 1371 1756 1828 2634 2742 3512 3656 4829 5027 5268 5484 9658 10054 10536 10968 14487 15081 19316 20108 28974 30162 38632 40216 57948 60324 115896 120648 200623 401246 601869 802492 1203738 1604984 2206853 2407476 4413706 4814952 6620559 8827412 13241118 17654824 26482236 52964472