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811431864 = 23333756629
BaseRepresentation
bin110000010111010…
…111011110111000
32002112212000021000
4300113113132320
53130211304424
6212303445000
726052025365
oct6027273670
92075760230
10811431864
11387039851
121a78b6760
13cc1563c9
1479aa346c
154b3843c9
hex305d77b8

811431864 has 32 divisors (see below), whose sum is σ = 2253978000. Its totient is φ = 270477216.

The previous prime is 811431847. The next prime is 811431893. The reversal of 811431864 is 468134118.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878099 + ... + 1878530.

Almost surely, 2811431864 is an apocalyptic number.

It is an amenable number.

811431864 is an abundant number, since it is smaller than the sum of its proper divisors (1442546136).

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

811431864 is a wasteful number, since it uses less digits than its factorization.

811431864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756644 (or 3756634 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 811431864 is about 28485.6431207020. The cubic root of 811431864 is about 932.7187042934.

The spelling of 811431864 in words is "eight hundred eleven million, four hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3756629 7513258 11269887 15026516 22539774 30053032 33809661 45079548 67619322 90159096 101428983 135238644 202857966 270477288 405715932 811431864