Search a number
-
+
9925704 = 2332314447
BaseRepresentation
bin100101110111…
…010001001000
3200200021111200
4211313101020
510020110304
6552424200
7150236625
oct45672110
920607450
109925704
11566a368
1233a8060
132096ac9
14146534c
15d10e39
hex977448

9925704 has 48 divisors (see below), whose sum is σ = 27755520. Its totient is φ = 3201120.

The previous prime is 9925703. The next prime is 9925709. The reversal of 9925704 is 4075299.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925703) 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 11 ways as a sum of consecutive naturals, for example, 9 + ... + 4455.

It is an arithmetic number, because the mean of its divisors is an integer number (578240).

Almost surely, 29925704 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 9925704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13877760).

9925704 is an abundant number, since it is smaller than the sum of its proper divisors (17829816).

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

9925704 is a wasteful number, since it uses less digits than its factorization.

9925704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9925704 is about 3150.5085303805. The cubic root of 9925704 is about 214.9085892280.

Adding to 9925704 its sum of digits (36), we get a triangular number (9925740 = T4455).

The spelling of 9925704 in words is "nine million, nine hundred twenty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4447 8894 13341 17788 26682 35576 40023 53364 80046 106728 137857 160092 275714 320184 413571 551428 827142 1102856 1240713 1654284 2481426 3308568 4962852 9925704