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85649088 = 263763727
BaseRepresentation
bin1010001101011…
…10011011000000
312222011102110110
411012232123000
5133411232323
612255431320
72060001540
oct506563300
9188142413
1085649088
114438a478
1224825540
131498a745
14b537320
1577bc793
hex51ae6c0

85649088 has 56 divisors (see below), whose sum is σ = 258990592. Its totient is φ = 24470784.

The previous prime is 85649059. The next prime is 85649147. The reversal of 85649088 is 88094658.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30520 + ... + 33207.

It is an arithmetic number, because the mean of its divisors is an integer number (4624832).

Almost surely, 285649088 is an apocalyptic number.

It is an amenable number.

85649088 is an abundant number, since it is smaller than the sum of its proper divisors (173341504).

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

85649088 is a wasteful number, since it uses less digits than its factorization.

85649088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63749 (or 63739 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 85649088 is about 9254.6792488989. The cubic root of 85649088 is about 440.7993184026.

The spelling of 85649088 in words is "eighty-five million, six hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 63727 127454 191181 254908 382362 446089 509816 764724 892178 1019632 1338267 1529448 1784356 2039264 2676534 3058896 3568712 4078528 5353068 6117792 7137424 10706136 12235584 14274848 21412272 28549696 42824544 85649088