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86522744 = 2371121132
BaseRepresentation
bin1010010100000…
…11101101111000
320000210210220002
411022003231320
5134122211434
612330252132
72100300620
oct512035570
9200723802
1086522744
1144926900
1224b87048
1314c052b9
14b6c3880
1578e157e
hex5283b78

86522744 has 72 divisors (see below), whose sum is σ = 205612680. Its totient is φ = 33411840.

The previous prime is 86522743. The next prime is 86522791. The reversal of 86522744 is 44722568.

It is a junction number, because it is equal to n+sod(n) for n = 86522698 and 86522707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86522743) 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 17 ways as a sum of consecutive naturals, for example, 765632 + ... + 765744.

Almost surely, 286522744 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 86522744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102806340).

86522744 is an abundant number, since it is smaller than the sum of its proper divisors (119089936).

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

86522744 is a wasteful number, since it uses less digits than its factorization.

86522744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 133 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 86522744 is about 9301.7602635200. The cubic root of 86522744 is about 442.2930292792.

The spelling of 86522744 in words is "eighty-six million, five hundred twenty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 113 121 154 226 242 308 452 484 616 791 847 904 968 1243 1582 1694 2486 3164 3388 4972 6328 6776 8701 9944 12769 13673 17402 25538 27346 34804 51076 54692 69608 89383 95711 102152 109384 140459 178766 191422 280918 357532 382844 561836 715064 765688 983213 1123672 1545049 1966426 3090098 3932852 6180196 7865704 10815343 12360392 21630686 43261372 86522744