Search a number
-
+
5007904 = 251141347
BaseRepresentation
bin10011000110101000100000
3100102102112221
4103012220200
52240223104
6255200424
760365206
oct23065040
910372487
105007904
112910570
121816114
131064575
14945076
1568dc54
hex4c6a20

5007904 has 48 divisors (see below), whose sum is σ = 11049696. Its totient is φ = 2214400.

The previous prime is 5007881. The next prime is 5007907. The reversal of 5007904 is 4097005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007907) 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, 14259 + ... + 14605.

It is an arithmetic number, because the mean of its divisors is an integer number (230202).

Almost surely, 25007904 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 5007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524848).

5007904 is an abundant number, since it is smaller than the sum of its proper divisors (6041792).

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

5007904 is a wasteful number, since it uses less digits than its factorization.

5007904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5007904 is about 2237.8346677089. The cubic root of 5007904 is about 171.0876515629.

The spelling of 5007904 in words is "five million, seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 347 352 451 656 694 902 1312 1388 1804 2776 3608 3817 5552 7216 7634 11104 14227 14432 15268 28454 30536 56908 61072 113816 122144 156497 227632 312994 455264 625988 1251976 2503952 5007904