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77268852 = 22322146357
BaseRepresentation
bin1001001101100…
…00011101110100
312101101122221100
410212300131310
5124240100402
611400050100
71625526423
oct446603564
9171348840
1077268852
113a686261
1221a63930
131301521b
14a3952ba
156bb471c
hex49b0774

77268852 has 18 divisors (see below), whose sum is σ = 195318578. Its totient is φ = 25756272.

The previous prime is 77268817. The next prime is 77268853. The reversal of 77268852 is 25886277.

It can be written as a sum of positive squares in only one way, i.e., 73719396 + 3549456 = 8586^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 77268798 and 77268807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77268853) 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 5 ways as a sum of consecutive naturals, for example, 1073143 + ... + 1073214.

Almost surely, 277268852 is an apocalyptic number.

It is an amenable number.

77268852 is an abundant number, since it is smaller than the sum of its proper divisors (118049726).

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

77268852 is a wasteful number, since it uses less digits than its factorization.

77268852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146367 (or 2146362 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 77268852 is about 8790.2703030112. The cubic root of 77268852 is about 425.9266553621.

The spelling of 77268852 in words is "seventy-seven million, two hundred sixty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2146357 4292714 6439071 8585428 12878142 19317213 25756284 38634426 77268852