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901972497 = 3312535903
BaseRepresentation
bin110101110000110…
…000001000010001
32022212012221122210
4311300300020101
53321401104442
6225300222333
731231432266
oct6560601021
92285187583
10901972497
1142315a318
1221209a9a9
13114b3744a
1487b1126d
15542bb19c
hex35c30211

901972497 has 24 divisors (see below), whose sum is σ = 1266337152. Its totient is φ = 570841440.

The previous prime is 901972483. The next prime is 901972549. The reversal of 901972497 is 794279109.

It is a happy number.

It is not a de Polignac number, because 901972497 - 28 = 901972241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (901974497) 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 23 ways as a sum of consecutive naturals, for example, 149848 + ... + 155750.

It is an arithmetic number, because the mean of its divisors is an integer number (52764048).

Almost surely, 2901972497 is an apocalyptic number.

It is an amenable number.

901972497 is a deficient number, since it is larger than the sum of its proper divisors (364364655).

901972497 is a wasteful number, since it uses less digits than its factorization.

901972497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The square root of 901972497 is about 30032.8569570063. The cubic root of 901972497 is about 966.1942125020.

The spelling of 901972497 in words is "nine hundred one million, nine hundred seventy-two thousand, four hundred ninety-seven".

Divisors: 1 3 31 53 93 159 961 1643 2883 4929 5903 17709 50933 152799 182993 312859 548979 938577 5672783 9698629 17018349 29095887 300657499 901972497