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428399 = 5359137
BaseRepresentation
bin1101000100101101111
3210202122122
41220211233
5102202044
613103155
73432656
oct1504557
9722578
10428399
11272954
12187abb
1311ccba
14b219d
1586dee
hex6896f

428399 has 8 divisors (see below), whose sum is σ = 447120. Its totient is φ = 410176.

The previous prime is 428369. The next prime is 428401. The reversal of 428399 is 993824.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428399 - 28 = 428143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428339) 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 7 ways as a sum of consecutive naturals, for example, 3059 + ... + 3195.

It is an arithmetic number, because the mean of its divisors is an integer number (55890).

2428399 is an apocalyptic number.

428399 is a deficient number, since it is larger than the sum of its proper divisors (18721).

428399 is a wasteful number, since it uses less digits than its factorization.

428399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its digits is 15552, while the sum is 35.

The square root of 428399 is about 654.5219629623. The cubic root of 428399 is about 75.3846314837.

The spelling of 428399 in words is "four hundred twenty-eight thousand, three hundred ninety-nine".

Divisors: 1 53 59 137 3127 7261 8083 428399