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1457243712 = 26322529937
BaseRepresentation
bin101011011011011…
…1100011001000000
310202120001122120100
41112312330121000
510441023244322
6400333442400
751053236641
oct12666743100
93676048510
101457243712
11688637851
12348040400
131a2ba1cb2
14db7736c8
1587e00dac
hex56dbc640

1457243712 has 42 divisors (see below), whose sum is σ = 4176927638. Its totient is φ = 485747712.

The previous prime is 1457243663. The next prime is 1457243737. The reversal of 1457243712 is 2173427541.

1457243712 is a `hidden beast` number, since 14 + 572 + 4 + 3 + 71 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1209370176 + 247873536 = 34776^2 + 15744^2 .

It is a super-3 number, since 3×14572437123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1264393 + ... + 1265544.

Almost surely, 21457243712 is an apocalyptic number.

1457243712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1457243712 is an abundant number, since it is smaller than the sum of its proper divisors (2719683926).

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

1457243712 is a wasteful number, since it uses less digits than its factorization.

1457243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529955 (or 2529942 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 1457243712 is about 38173.8616333218. The cubic root of 1457243712 is about 1133.7328486145.

The spelling of 1457243712 in words is "one billion, four hundred fifty-seven million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2529937 5059874 7589811 10119748 15179622 20239496 22769433 30359244 40478992 45538866 60718488 80957984 91077732 121436976 161915968 182155464 242873952 364310928 485747904 728621856 1457243712