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428576 = 2559227
BaseRepresentation
bin1101000101000100000
3210202220012
41220220200
5102203301
613104052
73433331
oct1505040
9722805
10428576
11272aa5
12188028
131200c5
14b2288
1586ebb
hex68a20

428576 has 24 divisors (see below), whose sum is σ = 861840. Its totient is φ = 209728.

The previous prime is 428569. The next prime is 428579. The reversal of 428576 is 675824.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (428579) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1775 + ... + 2001.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2428576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

428576 is an abundant number, since it is smaller than the sum of its proper divisors (433264).

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

428576 is a wasteful number, since it uses less digits than its factorization.

428576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 428576 is about 654.6571621849. The cubic root of 428576 is about 75.3950121822.

The spelling of 428576 in words is "four hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 118 227 236 454 472 908 944 1816 1888 3632 7264 13393 26786 53572 107144 214288 428576