Search a number
-
+
9972431 = 72434733
BaseRepresentation
bin100110000010…
…101011001111
3200202122121022
4212002223033
510023104211
6553424355
7150523100
oct46025317
920678538
109972431
1156a1487
12340b0bb
1320b2161
1414783a7
15d1ebdb
hex982acf

9972431 has 12 divisors (see below), whose sum is σ = 11872872. Its totient is φ = 8347248.

The previous prime is 9972401. The next prime is 9972439. The reversal of 9972431 is 1342799.

9972431 is nontrivially palindromic in base 6.

9972431 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9972431 - 210 = 9971407 is a prime.

It is a super-2 number, since 2×99724312 = 198898760099522, which contains 22 as substring.

It is a Duffinian number.

9972431 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9972391 and 9972400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972439) 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, 260 + ... + 4473.

It is an arithmetic number, because the mean of its divisors is an integer number (989406).

Almost surely, 29972431 is an apocalyptic number.

9972431 is a deficient number, since it is larger than the sum of its proper divisors (1900441).

9972431 is a wasteful number, since it uses less digits than its factorization.

9972431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4783 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 9972431 is about 3157.9156100187. The cubic root of 9972431 is about 215.2453014155.

The spelling of 9972431 in words is "nine million, nine hundred seventy-two thousand, four hundred thirty-one".

Divisors: 1 7 43 49 301 2107 4733 33131 203519 231917 1424633 9972431