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83056104 = 2334128173
BaseRepresentation
bin1001111001101…
…01010111101000
312210021200120000
410330311113220
5132230243404
612124103000
72025652035
oct474652750
9183250500
1083056104
114297930a
1223994a60
1314290431
14b06038c
157459339
hex4f355e8

83056104 has 40 divisors (see below), whose sum is σ = 232635810. Its totient is φ = 27685152.

The previous prime is 83056093. The next prime is 83056109. The reversal of 83056104 is 40165038.

It can be written as a sum of positive squares in only one way, i.e., 42224004 + 40832100 = 6498^2 + 6390^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83056109) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63439 + ... + 64734.

Almost surely, 283056104 is an apocalyptic number.

It is an amenable number.

83056104 is an abundant number, since it is smaller than the sum of its proper divisors (149579706).

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

83056104 is a wasteful number, since it uses less digits than its factorization.

83056104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128191 (or 128178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83056104 is about 9113.5121660093. The cubic root of 83056104 is about 436.3053299936.

The spelling of 83056104 in words is "eighty-three million, fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 128173 256346 384519 512692 769038 1025384 1153557 1538076 2307114 3076152 3460671 4614228 6921342 9228456 10382013 13842684 20764026 27685368 41528052 83056104