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85247656 = 23132173709
BaseRepresentation
bin1010001010011…
…00011010101000
312221102000210121
411011030122220
5133310411111
612243053024
72053410304
oct505143250
9187360717
1085247656
114413590a
1224671174
1314879b00
14b470d04
15773d871
hex514c6a8

85247656 has 48 divisors (see below), whose sum is σ = 183311100. Its totient is φ = 37020672.

The previous prime is 85247647. The next prime is 85247677. The reversal of 85247656 is 65674258.

It can be written as a sum of positive squares in 6 ways, for example, as 14182756 + 71064900 = 3766^2 + 8430^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21130 + ... + 24838.

Almost surely, 285247656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85247656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91655550).

85247656 is an abundant number, since it is smaller than the sum of its proper divisors (98063444).

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

85247656 is a wasteful number, since it uses less digits than its factorization.

85247656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3741 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 85247656 is about 9232.9657207205. The cubic root of 85247656 is about 440.1095732617.

The spelling of 85247656 in words is "eighty-five million, two hundred forty-seven thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2873 3709 5746 7418 11492 14836 22984 29672 48217 63053 96434 126106 192868 252212 385736 504424 626821 819689 1253642 1639378 2507284 3278756 5014568 6557512 10655957 21311914 42623828 85247656