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428790 = 23514293
BaseRepresentation
bin1101000101011110110
3210210012010
41220223312
5102210130
613105050
73434055
oct1505366
9723163
10428790
1127317a
12188186
1312022b
14b239c
15870b0
hex68af6

428790 has 16 divisors (see below), whose sum is σ = 1029168. Its totient is φ = 114336.

The previous prime is 428777. The next prime is 428797. The reversal of 428790 is 97824.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 14293 = 428790 / (4 + 2 + 8 + 7 + 9 + 0).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428797) 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, 7117 + ... + 7176.

It is an arithmetic number, because the mean of its divisors is an integer number (64323).

2428790 is an apocalyptic number.

428790 is an abundant number, since it is smaller than the sum of its proper divisors (600378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428790 is a wasteful number, since it uses less digits than its factorization.

428790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14303.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 428790 is about 654.8205861150. The cubic root of 428790 is about 75.4075590411.

The spelling of 428790 in words is "four hundred twenty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 14293 28586 42879 71465 85758 142930 214395 428790