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77348853 = 3240921013
BaseRepresentation
bin1001001110000…
…11111111110101
312101112201200100
410213003333311
5124300130403
611401504313
71626311601
oct447037765
9171481610
1077348853
113a73037a
1221aa2099
131304276a
14a3b6501
156bcd2a3
hex49c3ff5

77348853 has 12 divisors (see below), whose sum is σ = 112004620. Its totient is φ = 51437376.

The previous prime is 77348851. The next prime is 77348857. The reversal of 77348853 is 35884377.

It can be written as a sum of positive squares in 2 ways, for example, as 27688644 + 49660209 = 5262^2 + 7047^2 .

It is not a de Polignac number, because 77348853 - 21 = 77348851 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77348799 and 77348808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77348851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6826 + ... + 14187.

Almost surely, 277348853 is an apocalyptic number.

It is an amenable number.

77348853 is a deficient number, since it is larger than the sum of its proper divisors (34655767).

77348853 is a wasteful number, since it uses less digits than its factorization.

77348853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21428 (or 21425 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 77348853 is about 8794.8196684184. The cubic root of 77348853 is about 426.0736003230.

The spelling of 77348853 in words is "seventy-seven million, three hundred forty-eight thousand, eight hundred fifty-three".

Divisors: 1 3 9 409 1227 3681 21013 63039 189117 8594317 25782951 77348853