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77693085 = 3251726513
BaseRepresentation
bin1001010000110…
…00000010011101
312102012012212200
410220120002131
5124342134320
611413122113
71632244311
oct450300235
9172165780
1077693085
113a945a68
1222029339
1313133352
14a465b41
156c4a290
hex4a1809d

77693085 has 12 divisors (see below), whose sum is σ = 134668092. Its totient is φ = 41436288.

The previous prime is 77693053. The next prime is 77693107. The reversal of 77693085 is 58039677.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13003236 + 64689849 = 3606^2 + 8043^2 .

It is not a de Polignac number, because 77693085 - 25 = 77693053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1726513 = 77693085 / (7 + 7 + 6 + 9 + 3 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 77693085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863212 + ... + 863301.

It is an arithmetic number, because the mean of its divisors is an integer number (11222341).

Almost surely, 277693085 is an apocalyptic number.

It is an amenable number.

77693085 is a deficient number, since it is larger than the sum of its proper divisors (56975007).

77693085 is a wasteful number, since it uses less digits than its factorization.

77693085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726524 (or 1726521 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 77693085 is about 8814.3680998697. The cubic root of 77693085 is about 426.7047285245.

The spelling of 77693085 in words is "seventy-seven million, six hundred ninety-three thousand, eighty-five".

Divisors: 1 3 5 9 15 45 1726513 5179539 8632565 15538617 25897695 77693085