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85732896 = 253893051
BaseRepresentation
bin1010001110000…
…10111000100000
312222022200102110
411013002320200
5133421423041
612301315320
72060501064
oct507027040
9188280373
1085732896
1144437437
1224865b40
13149b9932
14b559aa4
1577d7516
hex51c2e20

85732896 has 24 divisors (see below), whose sum is σ = 225049104. Its totient is φ = 28577600.

The previous prime is 85732859. The next prime is 85732909. The reversal of 85732896 is 69823758.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 446430 + ... + 446621.

It is an arithmetic number, because the mean of its divisors is an integer number (9377046).

Almost surely, 285732896 is an apocalyptic number.

It is an amenable number.

85732896 is an abundant number, since it is smaller than the sum of its proper divisors (139316208).

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

85732896 is a wasteful number, since it uses less digits than its factorization.

85732896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893064 (or 893056 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 85732896 is about 9259.2060134765. The cubic root of 85732896 is about 440.9430462080.

The spelling of 85732896 in words is "eighty-five million, seven hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 893051 1786102 2679153 3572204 5358306 7144408 10716612 14288816 21433224 28577632 42866448 85732896