Search a number
-
+
9470972 = 22717101197
BaseRepresentation
bin100100001000…
…001111111100
3122211011201202
4210020033330
54411032342
6534555032
7143334110
oct44101774
918734652
109470972
115389755
123208a78
131c67b34
141387740
15c71332
hex9083fc

9470972 has 48 divisors (see below), whose sum is σ = 20357568. Its totient is φ = 3763200.

The previous prime is 9470969. The next prime is 9470977. The reversal of 9470972 is 2790749.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9470977) 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 15 ways as a sum of consecutive naturals, for example, 47978 + ... + 48174.

It is an arithmetic number, because the mean of its divisors is an integer number (424116).

Almost surely, 29470972 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 9470972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178784).

9470972 is an abundant number, since it is smaller than the sum of its proper divisors (10886596).

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

9470972 is a wasteful number, since it uses less digits than its factorization.

9470972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 9470972 is about 3077.4944354133. The cubic root of 9470972 is about 211.5752442382.

The spelling of 9470972 in words is "nine million, four hundred seventy thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 68 101 119 197 202 238 394 404 476 707 788 1379 1414 1717 2758 2828 3349 3434 5516 6698 6868 12019 13396 19897 23443 24038 39794 46886 48076 79588 93772 139279 278558 338249 557116 676498 1352996 2367743 4735486 9470972