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77190313 = 531977393
BaseRepresentation
bin1001001100111…
…01010010101001
312101020200012111
410212131102221
5124230042223
611354242321
71625051434
oct446352251
9171220174
1077190313
113a632252
1221a263a1
1312cb8555
14a37481b
156b9b30d
hex499d4a9

77190313 has 8 divisors (see below), whose sum is σ = 79056648. Its totient is φ = 75339264.

The previous prime is 77190307. The next prime is 77190317. The reversal of 77190313 is 31309177.

77190313 = 62122 + 62132.

It can be written as a sum of positive squares in 4 ways, for example, as 27741289 + 49449024 = 5267^2 + 7032^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77190313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77190317) 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 7 ways as a sum of consecutive naturals, for example, 6745 + ... + 14137.

It is an arithmetic number, because the mean of its divisors is an integer number (9882081).

Almost surely, 277190313 is an apocalyptic number.

77190313 is the 6213-rd centered square number.

It is an amenable number.

77190313 is a deficient number, since it is larger than the sum of its proper divisors (1866335).

77190313 is a wasteful number, since it uses less digits than its factorization.

77190313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643.

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 77190313 is about 8785.8017846979. The cubic root of 77190313 is about 425.7822970899.

The spelling of 77190313 in words is "seventy-seven million, one hundred ninety thousand, three hundred thirteen".

Divisors: 1 53 197 7393 10441 391829 1456421 77190313