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428232753 = 32133660109
BaseRepresentation
bin11001100001100…
…101000000110001
31002211210110220100
4121201211000301
51334111422003
6110254303013
713416626664
oct3141450061
91084713810
10428232753
111aa7a9673
12bb4b7a69
136a948080
1440c336db
15278ddba3
hex19865031

428232753 has 12 divisors (see below), whose sum is σ = 666140020. Its totient is φ = 263527776.

The previous prime is 428232713. The next prime is 428232757. The reversal of 428232753 is 357232824.

428232753 is a `hidden beast` number, since 4 + 282 + 327 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216442944 + 211789809 = 14712^2 + 14553^2 .

It is not a de Polignac number, because 428232753 - 26 = 428232689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428232757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1829938 + ... + 1830171.

Almost surely, 2428232753 is an apocalyptic number.

It is an amenable number.

428232753 is a deficient number, since it is larger than the sum of its proper divisors (237907267).

428232753 is a wasteful number, since it uses less digits than its factorization.

428232753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660128 (or 3660125 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 428232753 is about 20693.7853714587. The cubic root of 428232753 is about 753.7487882294.

The spelling of 428232753 in words is "four hundred twenty-eight million, two hundred thirty-two thousand, seven hundred fifty-three".

Divisors: 1 3 9 13 39 117 3660109 10980327 32940981 47581417 142744251 428232753