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972363041 = 13197379681
BaseRepresentation
bin111001111101010…
…001010100100001
32111202200011022222
4321331101110201
53442411104131
6240253040425
733044643446
oct7175212441
92452604288
10972363041
11459967821
12231786115
131265b1960
14931d59cd
155a57287b
hex39f51521

972363041 has 8 divisors (see below), whose sum is σ = 1052478504. Its totient is φ = 893007360.

The previous prime is 972363031. The next prime is 972363043. The reversal of 972363041 is 140363279.

972363041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 584430625 + 387932416 = 24175^2 + 19696^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972363041 - 226 = 905254177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972362992 and 972363010.

It is not an unprimeable number, because it can be changed into a prime (972363043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187280 + ... + 192401.

It is an arithmetic number, because the mean of its divisors is an integer number (131559813).

Almost surely, 2972363041 is an apocalyptic number.

It is an amenable number.

972363041 is a deficient number, since it is larger than the sum of its proper divisors (80115463).

972363041 is a wasteful number, since it uses less digits than its factorization.

972363041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379891.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 972363041 is about 31182.7362654402. The cubic root of 972363041 is about 990.7014859605.

The spelling of 972363041 in words is "nine hundred seventy-two million, three hundred sixty-three thousand, forty-one".

Divisors: 1 13 197 2561 379681 4935853 74797157 972363041