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85392576 = 263349417
BaseRepresentation
bin1010001011011…
…11110011000000
312221200101121000
411011233303000
5133330030301
612250132000
72054552643
oct505576300
9187611530
1085392576
1144224785
1224721000
13148caa69
14b4aba5a
15776b786
hex516fcc0

85392576 has 56 divisors (see below), whose sum is σ = 251043440. Its totient is φ = 28463616.

The previous prime is 85392557. The next prime is 85392577. The reversal of 85392576 is 67529358.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85392577) 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 7 ways as a sum of consecutive naturals, for example, 22981 + ... + 26436.

Almost surely, 285392576 is an apocalyptic number.

It is an amenable number.

85392576 is an abundant number, since it is smaller than the sum of its proper divisors (165650864).

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

85392576 is a wasteful number, since it uses less digits than its factorization.

85392576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49438 (or 49422 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85392576 is about 9240.8103540761. The cubic root of 85392576 is about 440.3588257507.

The spelling of 85392576 in words is "eighty-five million, three hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 49417 98834 148251 197668 296502 395336 444753 593004 790672 889506 1186008 1334259 1581344 1779012 2372016 2668518 3162688 3558024 4744032 5337036 7116048 9488064 10674072 14232096 21348144 28464192 42696288 85392576