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1457985609 = 33179301673
BaseRepresentation
bin101011011100111…
…0001100001001001
310202121110100021000
41112321301201021
510441221014414
6400401405213
751062446623
oct12671614111
93677410230
101457985609
11688aa4193
12348339809
131a30a18a2
14db8c7c13
1587eeab09
hex56e71849

1457985609 has 16 divisors (see below), whose sum is σ = 2172052800. Its totient is φ = 966557088.

The previous prime is 1457985587. The next prime is 1457985667. The reversal of 1457985609 is 9065897541.

1457985609 is a `hidden beast` number, since 1 + 4 + 5 + 79 + 8 + 560 + 9 = 666.

It is not a de Polignac number, because 1457985609 - 212 = 1457981513 is a prime.

It is a super-2 number, since 2×14579856092 = 4251444072102201762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1457985689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146004 + ... + 155669.

It is an arithmetic number, because the mean of its divisors is an integer number (135753300).

Almost surely, 21457985609 is an apocalyptic number.

It is an amenable number.

1457985609 is a deficient number, since it is larger than the sum of its proper divisors (714067191).

1457985609 is a wasteful number, since it uses less digits than its factorization.

1457985609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301861 (or 301855 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1457985609 is about 38183.5777396514. The cubic root of 1457985609 is about 1133.9252141269.

The spelling of 1457985609 in words is "one billion, four hundred fifty-seven million, nine hundred eighty-five thousand, six hundred nine".

Divisors: 1 3 9 27 179 537 1611 4833 301673 905019 2715057 8145171 53999467 161998401 485995203 1457985609