Search a number
-
+
428318631 = 33131398779
BaseRepresentation
bin11001100001111…
…001111110100111
31002211221211201000
4121201321332213
51334122144011
6110300204343
713420435236
oct3141717647
91084854630
10428318631
111aa858144
12bb5396b3
136a9781a0
1440c56b1d
1527909356
hex19879fa7

428318631 has 32 divisors (see below), whose sum is σ = 688352000. Its totient is φ = 261654624.

The previous prime is 428318609. The next prime is 428318633. The reversal of 428318631 is 136813824.

428318631 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 18 + 631 = 666.

It is not a de Polignac number, because 428318631 - 27 = 428318503 is a prime.

It is a super-2 number, since 2×4283186312 = 366913699323428322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428318633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44400 + ... + 53178.

It is an arithmetic number, because the mean of its divisors is an integer number (21511000).

Almost surely, 2428318631 is an apocalyptic number.

428318631 is a deficient number, since it is larger than the sum of its proper divisors (260033369).

428318631 is a wasteful number, since it uses less digits than its factorization.

428318631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8934 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 428318631 is about 20695.8602382216. The cubic root of 428318631 is about 753.7991705751.

The spelling of 428318631 in words is "four hundred twenty-eight million, three hundred eighteen thousand, six hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 139 351 417 1251 1807 3753 5421 8779 16263 26337 48789 79011 114127 237033 342381 1027143 1220281 3081429 3660843 10982529 15863653 32947587 47590959 142772877 428318631