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58408992 = 2533671009
BaseRepresentation
bin1101111011010…
…0000000100000
311001220111002000
43132310000200
5104423041432
65443524000
71306316415
oct336640040
9131814060
1058408992
112aa745a4
1217689600
13c140a45
147a8610c
1551db57c
hex37b4020

58408992 has 96 divisors (see below), whose sum is σ = 173073600. Its totient is φ = 19160064.

The previous prime is 58408967. The next prime is 58408993. The reversal of 58408992 is 29980485.

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

It is a super-2 number, since 2×584089922 = 6823220692912128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58408993) 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, 57384 + ... + 58392.

It is an arithmetic number, because the mean of its divisors is an integer number (1802850).

Almost surely, 258408992 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 58408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86536800).

58408992 is an abundant number, since it is smaller than the sum of its proper divisors (114664608).

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

58408992 is a wasteful number, since it uses less digits than its factorization.

58408992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 58408992 is about 7642.5775756612. The cubic root of 58408992 is about 387.9953944258.

The spelling of 58408992 in words is "fifty-eight million, four hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1009 1072 1206 1608 1809 2018 2144 2412 3027 3216 3618 4036 4824 6054 6432 7236 8072 9081 9648 12108 14472 16144 18162 19296 24216 27243 28944 32288 36324 48432 54486 57888 67603 72648 96864 108972 135206 145296 202809 217944 270412 290592 405618 435888 540824 608427 811236 871776 1081648 1216854 1622472 1825281 2163296 2433708 3244944 3650562 4867416 6489888 7301124 9734832 14602248 19469664 29204496 58408992