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56761992 = 23337231173
BaseRepresentation
bin1101100010000…
…1111010001000
310221210210211000
43120201322020
5104012340432
65344335000
71256316600
oct330417210
9127723730
1056761992
112a04a141
1217014460
13b9b51a1
147777c00
154eb357c
hex3621e88

56761992 has 192 divisors, whose sum is σ = 190425600. Its totient is φ = 15603840.

The previous prime is 56761981. The next prime is 56762039. The reversal of 56761992 is 29916765.

It is a happy number.

Its product of digits (204120) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 328018 + ... + 328190.

It is an arithmetic number, because the mean of its divisors is an integer number (991800).

Almost surely, 256761992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56761992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95212800).

56761992 is an abundant number, since it is smaller than the sum of its proper divisors (133663608).

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

56761992 is a wasteful number, since it uses less digits than its factorization.

56761992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 56761992 is about 7534.0554816115. The cubic root of 56761992 is about 384.3137084901.

The spelling of 56761992 in words is "fifty-six million, seven hundred sixty-one thousand, nine hundred ninety-two".