Search a number
-
+
9904288 = 25417549
BaseRepresentation
bin100101110010…
…000010100000
3200122012010111
4211302002200
510013414123
6552141104
7150120322
oct45620240
920565114
109904288
115655269
123397794
13208a134
14145b612
15d0990d
hex9720a0

9904288 has 24 divisors (see below), whose sum is σ = 19977300. Its totient is φ = 4830720.

The previous prime is 9904277. The next prime is 9904289. The reversal of 9904288 is 8824099.

It is a happy number.

9904288 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 94864 = 3132^2 + 308^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9904288.

It is not an unprimeable number, because it can be changed into a prime (9904289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2463 + ... + 5086.

Almost surely, 29904288 is an apocalyptic number.

It is an amenable number.

9904288 is an abundant number, since it is smaller than the sum of its proper divisors (10073012).

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

9904288 is a wasteful number, since it uses less digits than its factorization.

9904288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 9904288 is about 3147.1078786721. The cubic root of 9904288 is about 214.7539135001.

The spelling of 9904288 in words is "nine million, nine hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 7549 15098 30196 60392 120784 241568 309509 619018 1238036 2476072 4952144 9904288