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77793136 = 2431156841
BaseRepresentation
bin1001010001100…
…00011101110000
312102101022010021
410220300131300
5124403340021
611415213224
71633142101
oct450603560
9172338107
1077793136
113aa04153
1222077214
1313169a55
14a4903a8
156c69c41
hex4a30770

77793136 has 20 divisors (see below), whose sum is σ = 155587264. Its totient is φ = 37641600.

The previous prime is 77793101. The next prime is 77793137. The reversal of 77793136 is 63139777.

77793136 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 77793092 and 77793101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77793137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77925 + ... + 78916.

Almost surely, 277793136 is an apocalyptic number.

It is an amenable number.

77793136 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.

77793136 is a wasteful number, since it uses less digits than its factorization.

77793136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156880 (or 156874 counting only the distinct ones).

The product of its digits is 166698, while the sum is 43.

The square root of 77793136 is about 8820.0417232573. The cubic root of 77793136 is about 426.8878161268.

The spelling of 77793136 in words is "seventy-seven million, seven hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 156841 313682 627364 1254728 2509456 4862071 9724142 19448284 38896568 77793136