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820275988 = 22729295571
BaseRepresentation
bin110000111001000…
…110101100010100
32010011111100010011
4300321012230110
53134442312423
6213221210004
726220142120
oct6071065424
92104440104
10820275988
1139102a544
121aa860904
13100c31b0c
147ad26580
154c02eb0d
hex30e46b14

820275988 has 12 divisors (see below), whose sum is σ = 1640552032. Its totient is φ = 351546840.

The previous prime is 820275983. The next prime is 820276001. The reversal of 820275988 is 889572028.

820275988 is an admirable number.

It is a super-2 number, since 2×8202759882 = 1345705392978752288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820275983) 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 3 ways as a sum of consecutive naturals, for example, 14647758 + ... + 14647813.

Almost surely, 2820275988 is an apocalyptic number.

It is an amenable number.

820275988 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

820275988 is a wasteful number, since it uses less digits than its factorization.

820275988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29295582 (or 29295580 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 820275988 is about 28640.4606806525. The cubic root of 820275988 is about 936.0951594999.

The spelling of 820275988 in words is "eight hundred twenty million, two hundred seventy-five thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 29295571 58591142 117182284 205068997 410137994 820275988