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428896 = 25131031
BaseRepresentation
bin1101000101101100000
3210210100001
41220231200
5102211041
613105344
73434266
oct1505540
9723301
10428896
11273266
12188254
131202b0
14b2436
1587131
hex68b60

428896 has 24 divisors (see below), whose sum is σ = 910224. Its totient is φ = 197760.

The previous prime is 428873. The next prime is 428899. The reversal of 428896 is 698824.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428899) 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, 100 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (37926).

2428896 is an apocalyptic number.

It is an amenable number.

428896 is an abundant number, since it is smaller than the sum of its proper divisors (481328).

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

428896 is a wasteful number, since it uses less digits than its factorization.

428896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 428896 is about 654.9015193142. The cubic root of 428896 is about 75.4137722945.

It can be divided in two parts, 4 and 28896, that added together give a square (28900 = 1702).

The spelling of 428896 in words is "four hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1031 2062 4124 8248 13403 16496 26806 32992 53612 107224 214448 428896