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58390164 = 22327279419
BaseRepresentation
bin1101111010111…
…1011010010100
311001212112020200
43132233122110
5104421441124
65443300500
71306210500
oct336573224
9131775220
1058390164
112aa61438
121767a730
13c1352c1
147a7d300
1551d5bc9
hex37af694

58390164 has 108 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 16432416.

The previous prime is 58390127. The next prime is 58390177. The reversal of 58390164 is 46109385.

It is a super-2 number, since 2×583901642 = 6818822503893792, which contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139147 + ... + 139565.

Almost surely, 258390164 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 58390164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87141600).

58390164 is an abundant number, since it is smaller than the sum of its proper divisors (115893036).

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

58390164 is a wasteful number, since it uses less digits than its factorization.

58390164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 58390164 is about 7641.3456930046. The cubic root of 58390164 is about 387.9537001472.

The spelling of 58390164 in words is "fifty-eight million, three hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 79 84 98 126 147 158 196 237 252 294 316 419 441 474 553 588 711 838 882 948 1106 1257 1422 1659 1676 1764 2212 2514 2844 2933 3318 3771 3871 4977 5028 5866 6636 7542 7742 8799 9954 11613 11732 15084 15484 17598 19908 20531 23226 26397 33101 34839 35196 41062 46452 52794 61593 66202 69678 82124 99303 105588 123186 132404 139356 184779 198606 231707 246372 297909 369558 397212 463414 595818 695121 739116 926828 1191636 1390242 1621949 2085363 2780484 3243898 4170726 4865847 6487796 8341452 9731694 14597541 19463388 29195082 58390164