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827966864 = 2451747929
BaseRepresentation
bin110001010110011…
…100010110010000
32010200222002000102
4301112130112100
53143424414424
6214054111532
726342413364
oct6126342620
92120862012
10827966864
1139540283a
121b134b5a8
131026c562a
147bd692a4
154ca4d7ae
hex3159c590

827966864 has 10 divisors (see below), whose sum is σ = 1604185830. Its totient is φ = 413983424.

The previous prime is 827966863. The next prime is 827966873. The reversal of 827966864 is 468669728.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 420250000 + 407716864 = 20500^2 + 20192^2 .

It is not an unprimeable number, because it can be changed into a prime (827966863) 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 as a sum of consecutive naturals, namely, 25873949 + ... + 25873980.

It is an arithmetic number, because the mean of its divisors is an integer number (160418583).

Almost surely, 2827966864 is an apocalyptic number.

It is an amenable number.

827966864 is a deficient number, since it is larger than the sum of its proper divisors (776218966).

827966864 is a wasteful number, since it uses less digits than its factorization.

827966864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51747937 (or 51747931 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 56.

The square root of 827966864 is about 28774.4133563136. The cubic root of 827966864 is about 939.0116607623.

The spelling of 827966864 in words is "eight hundred twenty-seven million, nine hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 51747929 103495858 206991716 413983432 827966864