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972952040 = 23544354907
BaseRepresentation
bin111001111111100…
…001000111101000
32111210210002021202
4321333201013220
53443033431130
6240313423332
733052645604
oct7177410750
92453702252
10972952040
1145a22a2a5
12231a0ab48
13126759a88
149330a504
155a63c145
hex39fe11e8

972952040 has 32 divisors (see below), whose sum is σ = 2194123680. Its totient is φ = 388295232.

The previous prime is 972952033. The next prime is 972952051. The reversal of 972952040 is 40259279.

It is a junction number, because it is equal to n+sod(n) for n = 972951985 and 972952003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9734 + ... + 45173.

It is an arithmetic number, because the mean of its divisors is an integer number (68566365).

Almost surely, 2972952040 is an apocalyptic number.

It is an amenable number.

972952040 is an abundant number, since it is smaller than the sum of its proper divisors (1221171640).

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

972952040 is a wasteful number, since it uses less digits than its factorization.

972952040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55361 (or 55357 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 972952040 is about 31192.1791479852. The cubic root of 972952040 is about 990.9014813596.

The spelling of 972952040 in words is "nine hundred seventy-two million, nine hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 443 886 1772 2215 3544 4430 8860 17720 54907 109814 219628 274535 439256 549070 1098140 2196280 24323801 48647602 97295204 121619005 194590408 243238010 486476020 972952040