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5708256 = 25397613
BaseRepresentation
bin10101110001100111100000
3101202000020220
4111301213200
52430131011
6322203040
766343101
oct25614740
911660226
105708256
113249774
121ab3480
13124b288
14a883a8
1577b506
hex5719e0

5708256 has 48 divisors (see below), whose sum is σ = 15163344. Its totient is φ = 1880064.

The previous prime is 5708251. The next prime is 5708279. The reversal of 5708256 is 6528075.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5708251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9006 + ... + 9618.

It is an arithmetic number, because the mean of its divisors is an integer number (315903).

Almost surely, 25708256 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 5708256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581672).

5708256 is an abundant number, since it is smaller than the sum of its proper divisors (9455088).

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

5708256 is a wasteful number, since it uses less digits than its factorization.

5708256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5708256 is about 2389.1956805586. The cubic root of 5708256 is about 178.7178017542.

The spelling of 5708256 in words is "five million, seven hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 613 776 1164 1226 1552 1839 2328 2452 3104 3678 4656 4904 7356 9312 9808 14712 19616 29424 58848 59461 118922 178383 237844 356766 475688 713532 951376 1427064 1902752 2854128 5708256