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52099524 = 22344012
BaseRepresentation
bin1100011010111…
…1100111000100
310122000221010000
43012233213010
5101314141044
65100401300
71201560441
oct306574704
9118027100
1052099524
1127455164
1215546230
13aa41c29
146cc29c8
154891d69
hex31af9c4

52099524 has 45 divisors (see below), whose sum is σ = 136538941. Its totient is φ = 17323200.

The previous prime is 52099513. The next prime is 52099559. The reversal of 52099524 is 42599025.

It is a happy number.

The square root of 52099524 is 7218.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51581124 + 518400 = 7182^2 + 720^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 129724 + ... + 130124.

Almost surely, 252099524 is an apocalyptic number.

52099524 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52099524 is the 7218-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52099524

52099524 is an abundant number, since it is smaller than the sum of its proper divisors (84439417).

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

52099524 is an equidigital number, since it uses as much as digits as its factorization.

52099524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 52099524 is about 373.4890885669.

Multiplying 52099524 by its sum of digits (36), we get a square (1875582864 = 433082).

52099524 divided by its sum of digits (36) gives a square (1447209 = 12032).

Multiplying 52099524 by its product of nonzero digits (32400), we get a square (1688024577600 = 12992402).

The spelling of 52099524 in words is "fifty-two million, ninety-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 401 802 1203 1604 2406 3609 4812 7218 10827 14436 21654 32481 43308 64962 129924 160801 321602 482403 643204 964806 1447209 1929612 2894418 4341627 5788836 8683254 13024881 17366508 26049762 52099524