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84256272 = 2432585113
BaseRepresentation
bin1010000010110…
…10011000010000
312212112122212200
411001122120100
5133032200042
612205523200
72042111052
oct501323020
9185478780
1084256272
1143618a91
1224273500
13145c07a9
14b2938d2
1575e4c4c
hex505a610

84256272 has 30 divisors (see below), whose sum is σ = 235800942. Its totient is φ = 28085376.

The previous prime is 84256261. The next prime is 84256349. The reversal of 84256272 is 27265248.

84256272 is a `hidden beast` number, since 8 + 4 + 25 + 627 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 12278016 = 8484^2 + 3504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292413 + ... + 292700.

Almost surely, 284256272 is an apocalyptic number.

It is an amenable number.

84256272 is an abundant number, since it is smaller than the sum of its proper divisors (151544670).

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

84256272 is a wasteful number, since it uses less digits than its factorization.

84256272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585127 (or 585118 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 84256272 is about 9179.1215265950. The cubic root of 84256272 is about 438.3968380701.

The spelling of 84256272 in words is "eighty-four million, two hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 585113 1170226 1755339 2340452 3510678 4680904 5266017 7021356 9361808 10532034 14042712 21064068 28085424 42128136 84256272