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53432652 = 223713167293
BaseRepresentation
bin1100101111010…
…1000101001100
310201112122211010
43023311011030
5102134321102
65145125220
71216112220
oct313650514
9121478733
1053432652
1128185819
1215a89810
13b0ba970
14714c780
154a56d6c
hex32f514c

53432652 has 96 divisors (see below), whose sum is σ = 154893312. Its totient is φ = 13959936.

The previous prime is 53432647. The next prime is 53432669. The reversal of 53432652 is 25623435.

53432652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182218 + ... + 182510.

It is an arithmetic number, because the mean of its divisors is an integer number (1613472).

Almost surely, 253432652 is an apocalyptic number.

53432652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53432652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77446656).

53432652 is an abundant number, since it is smaller than the sum of its proper divisors (101460660).

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

53432652 is a wasteful number, since it uses less digits than its factorization.

53432652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 53432652 is about 7309.7641548822. The cubic root of 53432652 is about 376.6479227714.

The spelling of 53432652 in words is "fifty-three million, four hundred thirty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 167 182 273 293 334 364 501 546 586 668 879 1002 1092 1169 1172 1758 2004 2051 2171 2338 3507 3516 3809 4102 4342 4676 6153 6513 7014 7618 8204 8684 11427 12306 13026 14028 15197 15236 22854 24612 26052 26663 30394 45591 45708 48931 53326 60788 79989 91182 97862 106652 146793 159978 182364 195724 293586 319956 342517 587172 636103 685034 1027551 1272206 1370068 1908309 2055102 2544412 3816618 4110204 4452721 7633236 8905442 13358163 17810884 26716326 53432652