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428682233 = 7240121817
BaseRepresentation
bin11001100011010…
…010101111111001
31002212122022110202
4121203102233321
51334220312413
6110312051545
713423511300
oct3143225771
91085568422
10428682233
111aaa86341
12bb693bb5
136aa74835
1440d0d437
152797be58
hex198d2bf9

428682233 has 12 divisors (see below), whose sum is σ = 499937652. Its totient is φ = 366508800.

The previous prime is 428682227. The next prime is 428682269. The reversal of 428682233 is 332286824.

It can be written as a sum of positive squares in 2 ways, for example, as 377602624 + 51079609 = 19432^2 + 7147^2 .

It is not a de Polignac number, because 428682233 - 216 = 428616697 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428682223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8741 + ... + 30557.

It is an arithmetic number, because the mean of its divisors is an integer number (41661471).

Almost surely, 2428682233 is an apocalyptic number.

It is an amenable number.

428682233 is a deficient number, since it is larger than the sum of its proper divisors (71255419).

428682233 is a wasteful number, since it uses less digits than its factorization.

428682233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22232 (or 22225 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 428682233 is about 20704.6427885149. The cubic root of 428682233 is about 754.0124116422.

The spelling of 428682233 in words is "four hundred twenty-eight million, six hundred eighty-two thousand, two hundred thirty-three".

Divisors: 1 7 49 401 2807 19649 21817 152719 1069033 8748617 61240319 428682233