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5310944 = 25295997
BaseRepresentation
bin10100010000100111100000
3100222211020122
4110100213200
52324422234
6305455412
763066542
oct24204740
910884218
105310944
112aa8211
121941568
13113c492
149c3692
156ed92e
hex5109e0

5310944 has 48 divisors (see below), whose sum is σ = 11113200. Its totient is φ = 2494464.

The previous prime is 5310931. The next prime is 5310959. The reversal of 5310944 is 4490135.

It is a super-2 number, since 2×53109442 = 56412252342272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54704 + ... + 54800.

It is an arithmetic number, because the mean of its divisors is an integer number (231525).

Almost surely, 25310944 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 5310944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556600).

5310944 is an abundant number, since it is smaller than the sum of its proper divisors (5802256).

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

5310944 is a wasteful number, since it uses less digits than its factorization.

5310944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5310944 is about 2304.5485458111. The cubic root of 5310944 is about 174.4712639769.

The spelling of 5310944 in words is "five million, three hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 59 97 116 118 194 232 236 388 464 472 776 928 944 1552 1711 1888 2813 3104 3422 5626 5723 6844 11252 11446 13688 22504 22892 27376 45008 45784 54752 90016 91568 165967 183136 331934 663868 1327736 2655472 5310944