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83726916 = 22371376673
BaseRepresentation
bin1001111110110…
…01001001000100
312211112202201220
410333121021010
5132413230131
612150320340
72034444540
oct477311104
9184482656
1083726916
11432972a9
12240590b0
1314466870
14b196a20
15753ce96
hex4fd9244

83726916 has 48 divisors (see below), whose sum is σ = 240449664. Its totient is φ = 22081536.

The previous prime is 83726869. The next prime is 83726917. The reversal of 83726916 is 61962738.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (83726917) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37245 + ... + 39428.

It is an arithmetic number, because the mean of its divisors is an integer number (5009368).

Almost surely, 283726916 is an apocalyptic number.

It is an amenable number.

83726916 is an abundant number, since it is smaller than the sum of its proper divisors (156722748).

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

83726916 is a wasteful number, since it uses less digits than its factorization.

83726916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76700 (or 76698 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 83726916 is about 9150.2413082935. The cubic root of 83726916 is about 437.4768048655.

The spelling of 83726916 in words is "eighty-three million, seven hundred twenty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 76673 153346 230019 306692 460038 536711 920076 996749 1073422 1610133 1993498 2146844 2990247 3220266 3986996 5980494 6440532 6977243 11960988 13954486 20931729 27908972 41863458 83726916