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5708064 = 253371607
BaseRepresentation
bin10101110001100100100000
3101201222222210
4111301210200
52430124224
6322202120
766342405
oct25614440
911658883
105708064
11324960a
121ab3340
13124b16b
14a882ac
1577b429
hex571920

5708064 has 48 divisors (see below), whose sum is σ = 15398208. Its totient is φ = 1850112.

The previous prime is 5708057. The next prime is 5708069. The reversal of 5708064 is 4608075.

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 (5708069) 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, 2749 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (320796).

Almost surely, 25708064 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 5708064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699104).

5708064 is an abundant number, since it is smaller than the sum of its proper divisors (9690144).

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

5708064 is a wasteful number, since it uses less digits than its factorization.

5708064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5708064 is about 2389.1554993344. The cubic root of 5708064 is about 178.7157979780.

The spelling of 5708064 in words is "five million, seven hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1607 1776 3214 3552 4821 6428 9642 12856 19284 25712 38568 51424 59459 77136 118918 154272 178377 237836 356754 475672 713508 951344 1427016 1902688 2854032 5708064