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58045344 = 2537175081
BaseRepresentation
bin1101110101101…
…1001110100000
311001020000020120
43131123032200
5104324422334
65432040240
71303243260
oct335331640
9131200216
1058045344
112a846365
1217533080
13c044376
1479cd7a0
155168949
hex375b3a0

58045344 has 96 divisors (see below), whose sum is σ = 184415616. Its totient is φ = 15605760.

The previous prime is 58045319. The next prime is 58045349. The reversal of 58045344 is 44354085.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58045349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8884 + ... + 13964.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 258045344 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 58045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

58045344 is an abundant number, since it is smaller than the sum of its proper divisors (126370272).

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

58045344 is a wasteful number, since it uses less digits than its factorization.

58045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 58045344 is about 7618.7495036915. The cubic root of 58045344 is about 387.1885119420.

The spelling of 58045344 in words is "fifty-eight million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5081 5712 10162 11424 15243 20324 30486 35567 40648 60972 71134 81296 86377 106701 121944 142268 162592 172754 213402 243888 259131 284536 345508 426804 487776 518262 569072 604639 691016 853608 1036524 1138144 1209278 1382032 1707216 1813917 2073048 2418556 2764064 3414432 3627834 4146096 4837112 7255668 8292192 9674224 14511336 19348448 29022672 58045344