Search a number
-
+
85874016 = 253894521
BaseRepresentation
bin1010001111001…
…01010101100000
312222120212000010
411013211111200
5133440432031
612304324520
72061626364
oct507452540
9188525003
1085874016
1144523468
1224913740
1314a38c37
14b5952a4
157814246
hex51e5560

85874016 has 24 divisors (see below), whose sum is σ = 225419544. Its totient is φ = 28624640.

The previous prime is 85873961. The next prime is 85874051. The reversal of 85874016 is 61047858.

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

It is a congruent number.

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, 447165 + ... + 447356.

It is an arithmetic number, because the mean of its divisors is an integer number (9392481).

Almost surely, 285874016 is an apocalyptic number.

It is an amenable number.

85874016 is an abundant number, since it is smaller than the sum of its proper divisors (139545528).

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

85874016 is a wasteful number, since it uses less digits than its factorization.

85874016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894534 (or 894526 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 85874016 is about 9266.8234039502. The cubic root of 85874016 is about 441.1848505974.

The spelling of 85874016 in words is "eighty-five million, eight hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 894521 1789042 2683563 3578084 5367126 7156168 10734252 14312336 21468504 28624672 42937008 85874016