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52193448 = 23322772617
BaseRepresentation
bin1100011100011…
…0100010101000
310122012200221200
43013012202220
5101330142243
65102404200
71202431326
oct307064250
9118180850
1052193448
112750978a
1215590660
13aa758c8
146d08d16
1548aead3
hex31c68a8

52193448 has 48 divisors (see below), whose sum is σ = 141921780. Its totient is φ = 17328384.

The previous prime is 52193447. The next prime is 52193489. The reversal of 52193448 is 84439125.

52193448 is a `hidden beast` number, since 521 + 93 + 4 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51236964 + 956484 = 7158^2 + 978^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52193441) 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 11 ways as a sum of consecutive naturals, for example, 18636 + ... + 21252.

Almost surely, 252193448 is an apocalyptic number.

It is an amenable number.

52193448 is an abundant number, since it is smaller than the sum of its proper divisors (89728332).

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

52193448 is a wasteful number, since it uses less digits than its factorization.

52193448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2899 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 52193448 is about 7224.5033047262. The cubic root of 52193448 is about 373.7133934312.

The spelling of 52193448 in words is "fifty-two million, one hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277 554 831 1108 1662 2216 2493 2617 3324 4986 5234 6648 7851 9972 10468 15702 19944 20936 23553 31404 47106 62808 94212 188424 724909 1449818 2174727 2899636 4349454 5799272 6524181 8698908 13048362 17397816 26096724 52193448