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52819072 = 27433953
BaseRepresentation
bin1100100101111…
…1010010000000
310200101111010221
43021133102000
5102010202242
65124032424
71210645315
oct311372200
9120344127
1052819072
11278a6829
1215832714
13ac345b7
14702cd0c
154985167
hex325f480

52819072 has 32 divisors (see below), whose sum is σ = 105579180. Its totient is φ = 26320896.

The previous prime is 52819057. The next prime is 52819073. The reversal of 52819072 is 27091825.

It can be written as a sum of positive squares in 2 ways, for example, as 49224256 + 3594816 = 7016^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (52819073) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 54948 + ... + 55900.

Almost surely, 252819072 is an apocalyptic number.

It is an amenable number.

52819072 is a deficient number, since it is larger than the sum of its proper divisors (52760108).

52819072 is an equidigital number, since it uses as much as digits as its factorization.

52819072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 52819072 is about 7267.6730801543. The cubic root of 52819072 is about 375.2006558727.

It can be divided in two parts, 528 and 19072, that added together give a square (19600 = 1402).

The spelling of 52819072 in words is "fifty-two million, eight hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 433 866 953 1732 1906 3464 3812 6928 7624 13856 15248 27712 30496 55424 60992 121984 412649 825298 1650596 3301192 6602384 13204768 26409536 52819072