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58155942 = 2313283691
BaseRepresentation
bin1101110111011…
…0001110100110
311001102121221210
43131312032212
5104341442232
65434252250
71304213565
oct335661646
9131377853
1058155942
112a911469
1217587086
13c082800
147a1bbdc
15518b5cc
hex37763a6

58155942 has 48 divisors (see below), whose sum is σ = 127649088. Its totient is φ = 17652960.

The previous prime is 58155899. The next prime is 58155973. The reversal of 58155942 is 24955185.

It is a super-3 number, since 3×581559423 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 58155942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83817 + ... + 84507.

It is an arithmetic number, because the mean of its divisors is an integer number (2659356).

Almost surely, 258155942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58155942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63824544).

58155942 is an abundant number, since it is smaller than the sum of its proper divisors (69493146).

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

58155942 is a wasteful number, since it uses less digits than its factorization.

58155942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 58155942 is about 7626.0043273001. The cubic root of 58155942 is about 387.4342686981.

The spelling of 58155942 in words is "fifty-eight million, one hundred fifty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 83 166 169 249 338 498 507 691 1014 1079 1382 2073 2158 3237 4146 6474 8983 14027 17966 26949 28054 42081 53898 57353 84162 114706 116779 172059 233558 344118 350337 700674 745589 1491178 2236767 4473534 9692657 19385314 29077971 58155942