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85464756 = 223213182617
BaseRepresentation
bin1010001100000…
…01011010110100
312221211001121100
411012001122310
5133334333011
612251450100
72055303246
oct506013264
9187731540
1085464756
1144273a33
1224756930
1314924880
14b4ca096
157782d56
hex51816b4

85464756 has 36 divisors (see below), whose sum is σ = 232655332. Its totient is φ = 26296704.

The previous prime is 85464751. The next prime is 85464773. The reversal of 85464756 is 65746458.

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 42771600 = 6534^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85464751) by changing a digit.

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, 90841 + ... + 91776.

Almost surely, 285464756 is an apocalyptic number.

It is an amenable number.

85464756 is an abundant number, since it is smaller than the sum of its proper divisors (147190576).

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

85464756 is a wasteful number, since it uses less digits than its factorization.

85464756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182640 (or 182635 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 85464756 is about 9244.7150307622. The cubic root of 85464756 is about 440.4828652166.

The spelling of 85464756 in words is "eighty-five million, four hundred sixty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 182617 365234 547851 730468 1095702 1643553 2191404 2374021 3287106 4748042 6574212 7122063 9496084 14244126 21366189 28488252 42732378 85464756