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58106152 = 23133167269
BaseRepresentation
bin1101110110101…
…0000100101000
311001100002122201
43131222010220
5104333344102
65433225544
71303615456
oct335520450
9131302581
1058106152
112a888015
12175622b4
13c065c50
147a079d6
15517b987
hex376a128

58106152 has 64 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 25470720.

The previous prime is 58106141. The next prime is 58106173. The reversal of 58106152 is 25160185.

It is a self number, because there is not a number n which added to its sum of digits gives 58106152.

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, 215874 + ... + 216142.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 258106152 is an apocalyptic number.

58106152 is a gapful number since it is divisible by the number (52) 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 58106152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

58106152 is an abundant number, since it is smaller than the sum of its proper divisors (65273048).

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

58106152 is a wasteful number, since it uses less digits than its factorization.

58106152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 58106152 is about 7622.7391402304. The cubic root of 58106152 is about 387.3236703120.

The spelling of 58106152 in words is "fifty-eight million, one hundred six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 62 67 104 124 134 248 268 269 403 536 538 806 871 1076 1612 1742 2077 2152 3224 3484 3497 4154 6968 6994 8308 8339 13988 16616 16678 18023 27001 27976 33356 36046 54002 66712 72092 108004 108407 144184 216008 216814 234299 433628 468598 558713 867256 937196 1117426 1874392 2234852 4469704 7263269 14526538 29053076 58106152