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53558244 = 223229361
BaseRepresentation
bin1100110001001…
…1101111100100
310201210001002200
43030103233210
5102202330434
65151534500
71220144325
oct314235744
9121701080
1053558244
1128261113
1215b2a430
13b132b8c
14718244c
154a7e199
hex3313be4

53558244 has 72 divisors (see below), whose sum is σ = 142516920. Its totient is φ = 16954560.

The previous prime is 53558231. The next prime is 53558251. The reversal of 53558244 is 44285535.

53558244 is a `hidden beast` number, since 5 + 35 + 582 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 49871844 = 1920^2 + 7062^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53558199 and 53558208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877974 + ... + 878034.

Almost surely, 253558244 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 53558244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71258460).

53558244 is an abundant number, since it is smaller than the sum of its proper divisors (88958676).

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

53558244 is a wasteful number, since it uses less digits than its factorization.

53558244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 95 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 53558244 is about 7318.3498139950. The cubic root of 53558244 is about 376.9427921084.

The spelling of 53558244 in words is "fifty-three million, five hundred fifty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 116 122 174 183 244 261 348 366 522 549 732 841 1044 1098 1682 1769 2196 2523 3364 3538 5046 5307 7076 7569 10092 10614 15138 15921 21228 24389 30276 31842 48778 51301 63684 73167 97556 102602 146334 153903 205204 219501 292668 307806 439002 461709 615612 878004 923418 1487729 1846836 2975458 4463187 5950916 8926374 13389561 17852748 26779122 53558244