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82113612 = 22372731913
BaseRepresentation
bin1001110010011…
…11010001001100
312201111210200220
410321033101030
5132010113422
612051551340
72014645200
oct471172114
9181453626
1082113612
1142395199
12235bb550
1314020449
14ac96b00
15731ee5c
hex4e4f44c

82113612 has 72 divisors (see below), whose sum is σ = 226051056. Its totient is φ = 23127552.

The previous prime is 82113601. The next prime is 82113623. The reversal of 82113612 is 21631128.

It is an interprime number because it is at equal distance from previous prime (82113601) and next prime (82113623).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41968 + ... + 43880.

It is an arithmetic number, because the mean of its divisors is an integer number (3139598).

Almost surely, 282113612 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 82113612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113025528).

82113612 is an abundant number, since it is smaller than the sum of its proper divisors (143937444).

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

82113612 is a wasteful number, since it uses less digits than its factorization.

82113612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 82113612 is about 9061.6561400221. The cubic root of 82113612 is about 434.6487003857.

The spelling of 82113612 in words is "eighty-two million, one hundred thirteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 438 511 588 876 1022 1533 1913 2044 3066 3577 3826 5739 6132 7154 7652 10731 11478 13391 14308 21462 22956 26782 40173 42924 53564 80346 93737 139649 160692 187474 279298 281211 374948 418947 558596 562422 837894 977543 1124844 1675788 1955086 2932629 3910172 5865258 6842801 11730516 13685602 20528403 27371204 41056806 82113612