Search a number
-
+
85878816 = 2532713301
BaseRepresentation
bin1010001111001…
…10100000100000
312222121002120220
411013212200200
5133441110231
612304403040
72061646362
oct507464040
9188532526
1085878816
1144527031
1224916480
1314a3b18a
14b596d32
157815896
hex51e6820

85878816 has 48 divisors (see below), whose sum is σ = 226332288. Its totient is φ = 28512000.

The previous prime is 85878799. The next prime is 85878829. The reversal of 85878816 is 61887858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (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, 24366 + ... + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (4715256).

Almost surely, 285878816 is an apocalyptic number.

It is an amenable number.

85878816 is an abundant number, since it is smaller than the sum of its proper divisors (140453472).

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

85878816 is a wasteful number, since it uses less digits than its factorization.

85878816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3577 counting only the distinct ones).

The product of its digits is 860160, while the sum is 51.

The square root of 85878816 is about 9267.0823887565. The cubic root of 85878816 is about 441.1930705764.

The spelling of 85878816 in words is "eighty-five million, eight hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 3301 4336 6504 6602 8672 9903 13008 13204 19806 26016 26408 39612 52816 79224 105632 158448 316896 894571 1789142 2683713 3578284 5367426 7156568 10734852 14313136 21469704 28626272 42939408 85878816