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77146016 = 252410813
BaseRepresentation
bin1001001100100…
…10011110100000
312101011102102212
410212102132200
5124222133031
611353301252
71624505333
oct446223640
9171142385
1077146016
113a601a42
1221a04828
1312ca133c
14a36261a
156b8d12b
hex49927a0

77146016 has 12 divisors (see below), whose sum is σ = 151881282. Its totient is φ = 38572992.

The previous prime is 77146009. The next prime is 77146019. The reversal of 77146016 is 61064177.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49056016 + 28090000 = 7004^2 + 5300^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 2410813 = 77146016 / (7 + 7 + 1 + 4 + 6 + 0 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (77146019) 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 as a sum of consecutive naturals, namely, 1205375 + ... + 1205438.

Almost surely, 277146016 is an apocalyptic number.

It is an amenable number.

77146016 is a deficient number, since it is larger than the sum of its proper divisors (74735266).

77146016 is a wasteful number, since it uses less digits than its factorization.

77146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410823 (or 2410815 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 77146016 is about 8783.2804805494. The cubic root of 77146016 is about 425.7008339861.

The spelling of 77146016 in words is "seventy-seven million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 2410813 4821626 9643252 19286504 38573008 77146016