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58942944 = 2533174013
BaseRepresentation
bin1110000011011…
…0010111100000
311002220121112000
43200312113200
5110042133234
65503204000
71314002214
oct340662740
9132817460
1058942944
11302a9785
12178a6600
13c299aa8
147b84944
155294899
hex38365e0

58942944 has 96 divisors (see below), whose sum is σ = 182075040. Its totient is φ = 18487296.

The previous prime is 58942913. The next prime is 58942963. The reversal of 58942944 is 44924985.

58942944 is a `hidden beast` number, since 589 + 4 + 29 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 58942944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12682 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (1896615).

Almost surely, 258942944 is an apocalyptic number.

58942944 is a gapful number since it is divisible by the number (54) 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 58942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91037520).

58942944 is an abundant number, since it is smaller than the sum of its proper divisors (123132096).

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

58942944 is a wasteful number, since it uses less digits than its factorization.

58942944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4035 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 58942944 is about 7677.4308202679. The cubic root of 58942944 is about 389.1741102641.

The spelling of 58942944 in words is "fifty-eight million, nine hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4013 4896 7344 8026 12039 14688 16052 24078 32104 36117 48156 64208 68221 72234 96312 108351 128416 136442 144468 192624 204663 216702 272884 288936 385248 409326 433404 545768 577872 613989 818652 866808 1091536 1155744 1227978 1637304 1733616 1841967 2183072 2455956 3274608 3467232 3683934 4911912 6549216 7367868 9823824 14735736 19647648 29471472 58942944