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427646765 = 57213134269
BaseRepresentation
bin11001011111010…
…101111100101101
31002210200201002002
4121133111330231
51333434144030
6110233542045
713411636400
oct3137257455
91083621062
10427646765
111aa439387
12bb274925
136a7a1430
1440b1dd37
1527825245
hex197d5f2d

427646765 has 24 divisors (see below), whose sum is σ = 642884760. Its totient is φ = 270684288.

The previous prime is 427646741. The next prime is 427646803. The reversal of 427646765 is 567646724.

427646765 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59505796 + 368140969 = 7714^2 + 19187^2 .

It is not a de Polignac number, because 427646765 - 26 = 427646701 is a prime.

It is a super-2 number, since 2×4276467652 = 365763511229930450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63950 + ... + 70319.

It is an arithmetic number, because the mean of its divisors is an integer number (26786865).

Almost surely, 2427646765 is an apocalyptic number.

It is an amenable number.

427646765 is a deficient number, since it is larger than the sum of its proper divisors (215237995).

427646765 is a wasteful number, since it uses less digits than its factorization.

427646765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134301 (or 134294 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 47.

The square root of 427646765 is about 20679.6219743012. The cubic root of 427646765 is about 753.4048246864.

The spelling of 427646765 in words is "four hundred twenty-seven million, six hundred forty-six thousand, seven hundred sixty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3185 134269 671345 939883 1745497 4699415 6579181 8727485 12218479 32895905 61092395 85529353 427646765