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428583 = 31973103
BaseRepresentation
bin1101000101000100111
3210202220110
41220220213
5102203313
613104103
73433341
oct1505047
9722813
10428583
11273001
12188033
131200cc
14b2291
1586ec3
hex68a27

428583 has 16 divisors (see below), whose sum is σ = 615680. Its totient is φ = 264384.

The previous prime is 428579. The next prime is 428629. The reversal of 428583 is 385824.

It is not a de Polignac number, because 428583 - 22 = 428579 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 428583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4110 + ... + 4212.

It is an arithmetic number, because the mean of its divisors is an integer number (38480).

2428583 is an apocalyptic number.

428583 is a deficient number, since it is larger than the sum of its proper divisors (187097).

428583 is a wasteful number, since it uses less digits than its factorization.

428583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 7680, while the sum is 30.

The square root of 428583 is about 654.6625084729. The cubic root of 428583 is about 75.3954226595.

Subtracting from 428583 its product of digits (7680), we obtain a triangular number (420903 = T917).

The spelling of 428583 in words is "four hundred twenty-eight thousand, five hundred eighty-three".

Divisors: 1 3 19 57 73 103 219 309 1387 1957 4161 5871 7519 22557 142861 428583