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813088948 = 22724148413
BaseRepresentation
bin110000011101101…
…100000010110100
32002122222012100111
4300131230002310
53131122321243
6212403152404
726102066500
oct6035540264
92078865314
10813088948
11387a70841
121a8375704
13cc5b6729
1479db5300
154b5b039d
hex3076c0b4

813088948 has 18 divisors (see below), whose sum is σ = 1655217186. Its totient is φ = 348466608.

The previous prime is 813088931. The next prime is 813088963. The reversal of 813088948 is 849880318.

It can be written as a sum of positive squares in only one way, i.e., 742998564 + 70090384 = 27258^2 + 8372^2 .

It is a super-2 number, since 2×8130889482 = 1322227274719493408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2074011 + ... + 2074402.

Almost surely, 2813088948 is an apocalyptic number.

It is an amenable number.

813088948 is an abundant number, since it is smaller than the sum of its proper divisors (842128238).

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

813088948 is a wasteful number, since it uses less digits than its factorization.

813088948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148431 (or 4148422 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The square root of 813088948 is about 28514.7145873845. The cubic root of 813088948 is about 933.3531967995.

The spelling of 813088948 in words is "eight hundred thirteen million, eighty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 4148413 8296826 16593652 29038891 58077782 116155564 203272237 406544474 813088948