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807813821 = 2929539433
BaseRepresentation
bin110000001001100…
…100001010111101
32002022001012020102
4300021210022331
53123300020241
6212054130445
726006206223
oct6011441275
92068035212
10807813821
11384a98531
121a6650a25
13cb48a659
1479400b13
154adbc39b
hex302642bd

807813821 has 8 divisors (see below), whose sum is σ = 836041080. Its totient is φ = 779611392.

The previous prime is 807813817. The next prime is 807813829. The reversal of 807813821 is 128318708.

It can be written as a sum of positive squares in 4 ways, for example, as 315595225 + 492218596 = 17765^2 + 22186^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 807813821 - 22 = 807813817 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807813829) 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 in 7 ways as a sum of consecutive naturals, for example, 80921 + ... + 90353.

It is an arithmetic number, because the mean of its divisors is an integer number (104505135).

Almost surely, 2807813821 is an apocalyptic number.

It is an amenable number.

807813821 is a deficient number, since it is larger than the sum of its proper divisors (28227259).

807813821 is a wasteful number, since it uses less digits than its factorization.

807813821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12415.

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 807813821 is about 28422.0657412511. The cubic root of 807813821 is about 931.3303583284.

The spelling of 807813821 in words is "eight hundred seven million, eight hundred thirteen thousand, eight hundred twenty-one".

Divisors: 1 29 2953 9433 85637 273557 27855649 807813821