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85890912 = 2533724181
BaseRepresentation
bin1010001111010…
…01011101100000
312222121201011220
411013221131200
5133442002122
612304535040
72062026552
oct507513540
9188551156
1085890912
1144535128
1224921480
1314a43833
14b59b4d2
15781925c
hex51e9760

85890912 has 48 divisors (see below), whose sum is σ = 231566832. Its totient is φ = 27855360.

The previous prime is 85890907. The next prime is 85890913. The reversal of 85890912 is 21909858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85890913) 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, 8539 + ... + 15642.

It is an arithmetic number, because the mean of its divisors is an integer number (4824309).

Almost surely, 285890912 is an apocalyptic number.

It is an amenable number.

85890912 is an abundant number, since it is smaller than the sum of its proper divisors (145675920).

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

85890912 is a wasteful number, since it uses less digits than its factorization.

85890912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 85890912 is about 9267.7349983693. The cubic root of 85890912 is about 441.2137835652.

The spelling of 85890912 in words is "eighty-five million, eight hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 24181 48362 72543 96724 145086 193448 290172 386896 580344 773792 894697 1160688 1789394 2321376 2684091 3578788 5368182 7157576 10736364 14315152 21472728 28630304 42945456 85890912