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906464 = 25132179
BaseRepresentation
bin11011101010011100000
31201001102202
43131103200
5213001324
631232332
710463516
oct3352340
91631382
10906464
1156a049
123786a8
13259790
141984b6
1512d8ae
hexdd4e0

906464 has 24 divisors (see below), whose sum is σ = 1922760. Its totient is φ = 418176.

The previous prime is 906461. The next prime is 906473. The reversal of 906464 is 464609.

906464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906464.

It is not an unprimeable number, because it can be changed into a prime (906461) 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, 674 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (80115).

2906464 is an apocalyptic number.

It is an amenable number.

906464 is an abundant number, since it is smaller than the sum of its proper divisors (1016296).

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

906464 is a wasteful number, since it uses less digits than its factorization.

906464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 906464 is about 952.0840299049. The cubic root of 906464 is about 96.7795325895.

The spelling of 906464 in words is "nine hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2179 4358 8716 17432 28327 34864 56654 69728 113308 226616 453232 906464