Search a number
-
+
9995264 = 21043227
BaseRepresentation
bin100110001000…
…010000000000
3200210210220222
4212020100000
510024322024
6554122212
7150646466
oct46102000
920723828
109995264
115707654
123420368
1320bc676
141482836
15d2685e
hex988400

9995264 has 44 divisors (see below), whose sum is σ = 20535504. Its totient is φ = 4859904.

The previous prime is 9995257. The next prime is 9995329. The reversal of 9995264 is 4625999.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43919 + ... + 44145.

It is an arithmetic number, because the mean of its divisors is an integer number (466716).

Almost surely, 29995264 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 9995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267752).

9995264 is an abundant number, since it is smaller than the sum of its proper divisors (10540240).

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

9995264 is a wasteful number, since it uses less digits than its factorization.

9995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its digits is 174960, while the sum is 44.

The square root of 9995264 is about 3161.5287441363. The cubic root of 9995264 is about 215.4094522902.

The spelling of 9995264 in words is "nine million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 227 256 344 454 512 688 908 1024 1376 1816 2752 3632 5504 7264 9761 11008 14528 19522 22016 29056 39044 44032 58112 78088 116224 156176 232448 312352 624704 1249408 2498816 4997632 9995264