Search a number
-
+
9939904 = 26132919
BaseRepresentation
bin100101111010…
…101111000000
3200200222222121
4211322233000
510021034104
6553014024
7150326212
oct45725700
920628877
109939904
115679aa7
1233b4314
1320a0400
14146a5b2
15d15254
hex97abc0

9939904 has 42 divisors (see below), whose sum is σ = 21381720. Its totient is φ = 4582656.

The previous prime is 9939901. The next prime is 9939911. The reversal of 9939904 is 4099399.

9939904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9939901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10357 + ... + 11275.

Almost surely, 29939904 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 9939904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690860).

9939904 is an abundant number, since it is smaller than the sum of its proper divisors (11441816).

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

9939904 is a wasteful number, since it uses less digits than its factorization.

9939904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 43.

The square root of 9939904 is about 3152.7613293746. The cubic root of 9939904 is about 215.0110252143.

The spelling of 9939904 in words is "nine million, nine hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 919 1352 1838 2704 3676 5408 7352 10816 11947 14704 23894 29408 47788 58816 95576 155311 191152 310622 382304 621244 764608 1242488 2484976 4969952 9939904