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428355 = 33519167
BaseRepresentation
bin1101000100101000011
3210202121000
41220211003
5102201410
613103043
73432564
oct1504503
9722530
10428355
11272914
12187a83
1311cc85
14b216b
1586dc0
hex68943

428355 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 215136.

The previous prime is 428353. The next prime is 428369. The reversal of 428355 is 553824.

It is not a de Polignac number, because 428355 - 21 = 428353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4800) is a multiple of the sum of its prime factors (200).

It is not an unprimeable number, because it can be changed into a prime (428353) 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, 2482 + ... + 2648.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2428355 is an apocalyptic number.

428355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428355 is a deficient number, since it is larger than the sum of its proper divisors (378045).

428355 is a wasteful number, since it uses less digits than its factorization.

428355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 428355 is about 654.4883497817. The cubic root of 428355 is about 75.3820505273.

The spelling of 428355 in words is "four hundred twenty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 167 171 285 501 513 835 855 1503 2505 2565 3173 4509 7515 9519 15865 22545 28557 47595 85671 142785 428355