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5640864 = 25367877
BaseRepresentation
bin10101100001001010100000
3101121120210220
4111201022200
52421001424
6320523040
765642445
oct25411240
911546726
105640864
113203079
121a80480
1312266b8
14a6b9cc
15766579
hex5612a0

5640864 has 48 divisors (see below), whose sum is σ = 15045408. Its totient is φ = 1850112.

The previous prime is 5640863. The next prime is 5640871. The reversal of 5640864 is 4680465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5640863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5994 + ... + 6870.

It is an arithmetic number, because the mean of its divisors is an integer number (313446).

Almost surely, 25640864 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 5640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522704).

5640864 is an abundant number, since it is smaller than the sum of its proper divisors (9404544).

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

5640864 is a wasteful number, since it uses less digits than its factorization.

5640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5640864 is about 2375.0503152565. The cubic root of 5640864 is about 178.0116980908.

The spelling of 5640864 in words is "five million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 877 1072 1608 1754 2144 2631 3216 3508 5262 6432 7016 10524 14032 21048 28064 42096 58759 84192 117518 176277 235036 352554 470072 705108 940144 1410216 1880288 2820432 5640864