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85459344 = 2433748119
BaseRepresentation
bin1010001100000…
…00000110010000
312221210210011220
411012000012100
5133334144334
612251405040
72055251415
oct506000620
9187723156
1085459344
114426a963
1224753780
1314922279
14b4c810c
157781449
hex5180190

85459344 has 40 divisors (see below), whose sum is σ = 226741440. Its totient is φ = 27715968.

The previous prime is 85459327. The next prime is 85459351. The reversal of 85459344 is 44395458.

It is a junction number, because it is equal to n+sod(n) for n = 85459296 and 85459305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22284 + ... + 25835.

It is an arithmetic number, because the mean of its divisors is an integer number (5668536).

Almost surely, 285459344 is an apocalyptic number.

It is an amenable number.

85459344 is an abundant number, since it is smaller than the sum of its proper divisors (141282096).

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

85459344 is a wasteful number, since it uses less digits than its factorization.

85459344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48167 (or 48161 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 85459344 is about 9244.4223183496. The cubic root of 85459344 is about 440.4735672568.

The spelling of 85459344 in words is "eighty-five million, four hundred fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 48119 96238 144357 192476 288714 384952 577428 769904 1154856 1780403 2309712 3560806 5341209 7121612 10682418 14243224 21364836 28486448 42729672 85459344