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59542164 = 223211213669
BaseRepresentation
bin1110001100100…
…0101010010100
311011001001111100
43203020222110
5110220322124
65524110100
71322046213
oct343105224
9134031440
1059542164
1130678a00
1217b35330
13c449766
147c9d07a
1553621c9
hex38c8a94

59542164 has 54 divisors (see below), whose sum is σ = 165448010. Its totient is φ = 18041760.

The previous prime is 59542141. The next prime is 59542207. The reversal of 59542164 is 46124595.

59542164 is a `hidden beast` number, since 59 + 542 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55621764 + 3920400 = 7458^2 + 1980^2 .

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2479 + ... + 11190.

Almost surely, 259542164 is an apocalyptic number.

It is an amenable number.

59542164 is an abundant number, since it is smaller than the sum of its proper divisors (105905846).

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

59542164 is a wasteful number, since it uses less digits than its factorization.

59542164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701 (or 13685 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 59542164 is about 7716.3569124296. The cubic root of 59542164 is about 390.4884609432.

Subtracting from 59542164 its reverse (46124595), we obtain a square (13417569 = 36632).

It can be divided in two parts, 5954 and 2164, that added together give a palindrome (8118).

The spelling of 59542164 in words is "fifty-nine million, five hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 13669 27338 41007 54676 82014 123021 150359 164028 246042 300718 451077 492084 601436 902154 1353231 1653949 1804308 2706462 3307898 4961847 5412924 6615796 9923694 14885541 19847388 29771082 59542164