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77342056 = 23118310589
BaseRepresentation
bin1001001110000…
…10010101101000
312101112101100121
410213002111220
5124244421211
611401413024
71626253021
oct447022550
9171471317
1077342056
113a726260
1221a9a174
131303c63c
14a3b3c48
156bcb271
hex49c2568

77342056 has 32 divisors (see below), whose sum is σ = 160120800. Its totient is φ = 34728640.

The previous prime is 77342051. The next prime is 77342071. The reversal of 77342056 is 65024377.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77342051) 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 7 ways as a sum of consecutive naturals, for example, 2010 + ... + 12598.

It is an arithmetic number, because the mean of its divisors is an integer number (5003775).

Almost surely, 277342056 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 77342056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80060400).

77342056 is an abundant number, since it is smaller than the sum of its proper divisors (82778744).

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

77342056 is a wasteful number, since it uses less digits than its factorization.

77342056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 77342056 is about 8794.4332392713. The cubic root of 77342056 is about 426.0611196075.

The spelling of 77342056 in words is "seventy-seven million, three hundred forty-two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 664 913 1826 3652 7304 10589 21178 42356 84712 116479 232958 465916 878887 931832 1757774 3515548 7031096 9667757 19335514 38671028 77342056