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972240913 = 74179137313
BaseRepresentation
bin111001111100110…
…011100000010001
32111202102221210201
4321330303200101
53442343202123
6240250255201
733043624420
oct7174634021
92452387721
10972240913
11459893a96
12231727501
1312656b1a7
14931a32b7
155a54b5ad
hex39f33811

972240913 has 32 divisors (see below), whose sum is σ = 1164764160. Its totient is φ = 794327040.

The previous prime is 972240911. The next prime is 972240917. The reversal of 972240913 is 319042279.

972240913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 972240913 - 21 = 972240911 is a prime.

It is a super-2 number, since 2×9722409132 = 1890504785822147138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (972240911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106045 + ... + 3106357.

It is an arithmetic number, because the mean of its divisors is an integer number (36398880).

Almost surely, 2972240913 is an apocalyptic number.

It is an amenable number.

972240913 is a deficient number, since it is larger than the sum of its proper divisors (192523247).

972240913 is a wasteful number, since it uses less digits than its factorization.

972240913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 972240913 is about 31180.7779409046. Note that the first 3 decimals coincide. The cubic root of 972240913 is about 990.6600071260.

The spelling of 972240913 in words is "nine hundred seventy-two million, two hundred forty thousand, nine hundred thirteen".

Divisors: 1 7 41 79 137 287 313 553 959 2191 3239 5617 10823 12833 22673 24727 39319 42881 75761 89831 173089 300167 443743 1013807 1758121 3106201 3387599 7096649 12306847 23713193 138891559 972240913