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52822656 = 273245853
BaseRepresentation
bin1100100110000…
…0001010000000
310200101200001200
43021200022000
5102010311111
65124101200
71210661625
oct311401200
9120350050
1052822656
11278a9497
1215834800
13ac36113
14703034c
154986256
hex3260280

52822656 has 48 divisors (see below), whose sum is σ = 152006010. Its totient is φ = 17607168.

The previous prime is 52822633. The next prime is 52822663. The reversal of 52822656 is 65622825.

It can be written as a sum of positive squares in only one way, i.e., 31809600 + 21013056 = 5640^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52822656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21775 + ... + 24078.

Almost surely, 252822656 is an apocalyptic number.

It is an amenable number.

52822656 is an abundant number, since it is smaller than the sum of its proper divisors (99183354).

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

52822656 is a wasteful number, since it uses less digits than its factorization.

52822656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45873 (or 45858 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 52822656 is about 7267.9196473269. The cubic root of 52822656 is about 375.2091420040.

The spelling of 52822656 in words is "fifty-two million, eight hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 45853 91706 137559 183412 275118 366824 412677 550236 733648 825354 1100472 1467296 1650708 2200944 2934592 3301416 4401888 5869184 6602832 8803776 13205664 17607552 26411328 52822656