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5005704 = 2331167283
BaseRepresentation
bin10011000110000110001000
3100102022112110
4103012012020
52240140304
6255142320
760355614
oct23060610
910368473
105005704
112909950
1218149a0
131063572
14944344
1568d289
hex4c6188

5005704 has 64 divisors (see below), whose sum is σ = 13904640. Its totient is φ = 1488960.

The previous prime is 5005703. The next prime is 5005709. The reversal of 5005704 is 4075005.

It is not an unprimeable number, because it can be changed into a prime (5005703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17547 + ... + 17829.

It is an arithmetic number, because the mean of its divisors is an integer number (217260).

Almost surely, 25005704 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 5005704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952320).

5005704 is an abundant number, since it is smaller than the sum of its proper divisors (8898936).

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

5005704 is a wasteful number, since it uses less digits than its factorization.

5005704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5005704 is about 2237.3430671223. The cubic root of 5005704 is about 171.0625946419.

The spelling of 5005704 in words is "five million, five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 283 402 536 566 737 804 849 1132 1474 1608 1698 2211 2264 2948 3113 3396 4422 5896 6226 6792 8844 9339 12452 17688 18678 18961 24904 37356 37922 56883 74712 75844 113766 151688 208571 227532 417142 455064 625713 834284 1251426 1668568 2502852 5005704