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653983057 = 72131026661
BaseRepresentation
bin100110111110101…
…111110101010001
31200120120210002201
4212332233311101
52314404424212
6144521043201
722130523100
oct4676576521
91616523081
10653983057
1130617a172
12163026501
13a5649c30
1462bda037
153c632b57
hex26fafd51

653983057 has 12 divisors (see below), whose sum is σ = 819276276. Its totient is φ = 517436640.

The previous prime is 653983049. The next prime is 653983061. The reversal of 653983057 is 750389356.

It can be written as a sum of positive squares in 2 ways, for example, as 403045776 + 250937281 = 20076^2 + 15841^2 .

It is not a de Polignac number, because 653983057 - 23 = 653983049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 653982998 and 653983016.

It is not an unprimeable number, because it can be changed into a prime (653983007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512694 + ... + 513967.

It is an arithmetic number, because the mean of its divisors is an integer number (68273023).

Almost surely, 2653983057 is an apocalyptic number.

It is an amenable number.

653983057 is a deficient number, since it is larger than the sum of its proper divisors (165293219).

653983057 is a wasteful number, since it uses less digits than its factorization.

653983057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026688 (or 1026681 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 653983057 is about 25573.0924410795. The cubic root of 653983057 is about 868.0048777041.

The spelling of 653983057 in words is "six hundred fifty-three million, nine hundred eighty-three thousand, fifty-seven".

Divisors: 1 7 13 49 91 637 1026661 7186627 13346593 50306389 93426151 653983057