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59052924 = 22327892633
BaseRepresentation
bin1110000101000…
…1001101111100
311010010012101100
43201101031330
5110104143144
65505413100
71314640650
oct341211574
9133105340
1059052924
1130374377
121793a190
13c307b78
147bb2a60
1552b7269
hex385137c

59052924 has 72 divisors (see below), whose sum is σ = 172579680. Its totient is φ = 16676352.

The previous prime is 59052913. The next prime is 59052947. The reversal of 59052924 is 42925095.

It is a happy number.

59052924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21112 + ... + 23744.

It is an arithmetic number, because the mean of its divisors is an integer number (2396940).

Almost surely, 259052924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59052924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86289840).

59052924 is an abundant number, since it is smaller than the sum of its proper divisors (113526756).

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

59052924 is a wasteful number, since it uses less digits than its factorization.

59052924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2734 counting only the distinct ones).

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

The square root of 59052924 is about 7684.5900346082. The cubic root of 59052924 is about 389.4160095918.

The spelling of 59052924 in words is "fifty-nine million, fifty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 623 801 1068 1246 1602 1869 2492 2633 3204 3738 5266 5607 7476 7899 10532 11214 15798 18431 22428 23697 31596 36862 47394 55293 73724 94788 110586 165879 221172 234337 331758 468674 663516 703011 937348 1406022 1640359 2109033 2812044 3280718 4218066 4921077 6561436 8436132 9842154 14763231 19684308 29526462 59052924