Search a number
-
+
9968296 = 2313273101
BaseRepresentation
bin100110000001…
…101010101000
3200202102221011
4212001222220
510022441141
6553353304
7150505042
oct46015250
920672834
109968296
115699368
123408834
1320b0300
141476a92
15d1d881
hex981aa8

9968296 has 48 divisors (see below), whose sum is σ = 20719260. Its totient is φ = 4492800.

The previous prime is 9968291. The next prime is 9968297. The reversal of 9968296 is 6928699.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4351396 + 5616900 = 2086^2 + 2370^2 .

It is not an unprimeable number, because it can be changed into a prime (9968291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98646 + ... + 98746.

Almost surely, 29968296 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 9968296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359630).

9968296 is an abundant number, since it is smaller than the sum of its proper divisors (10750964).

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

9968296 is a wasteful number, since it uses less digits than its factorization.

9968296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 9968296 is about 3157.2608381317. The cubic root of 9968296 is about 215.2155473075.

The spelling of 9968296 in words is "nine million, nine hundred sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 73 101 104 146 169 202 292 338 404 584 676 808 949 1313 1352 1898 2626 3796 5252 7373 7592 10504 12337 14746 17069 24674 29492 34138 49348 58984 68276 95849 98696 136552 191698 383396 766792 1246037 2492074 4984148 9968296