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428428431 = 32322114779
BaseRepresentation
bin11001100010010…
…100110010001111
31002212011102022200
4121202110302033
51334134202211
6110302412543
713421403324
oct3142246217
91085142280
10428428431
111aa922692
12bb591153
136a9b6162
1440c84b4b
152792bb56
hex19894c8f

428428431 has 12 divisors (see below), whose sum is σ = 619075080. Its totient is φ = 285510960.

The previous prime is 428428423. The next prime is 428428447. The reversal of 428428431 is 134824824.

It is not a de Polignac number, because 428428431 - 23 = 428428423 is a prime.

It is a super-2 number, since 2×4284284312 = 367101840978243522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428428411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21600 + ... + 36378.

It is an arithmetic number, because the mean of its divisors is an integer number (51589590).

Almost surely, 2428428431 is an apocalyptic number.

428428431 is a deficient number, since it is larger than the sum of its proper divisors (190646649).

428428431 is a wasteful number, since it uses less digits than its factorization.

428428431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18006 (or 18003 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 428428431 is about 20698.5127726607. The cubic root of 428428431 is about 753.8635775154.

The spelling of 428428431 in words is "four hundred twenty-eight million, four hundred twenty-eight thousand, four hundred thirty-one".

Divisors: 1 3 9 3221 9663 14779 28989 44337 133011 47603159 142809477 428428431