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1457232561 = 322332812473
BaseRepresentation
bin101011011011011…
…1001101010110001
310202120001002021100
41112312321222301
510441022420221
6400333315013
751053162301
oct12666715261
93676032240
101457232561
1168862a434
12348035a69
131a2b99bb5
14db76d601
1587dec926
hex56db9ab1

1457232561 has 24 divisors (see below), whose sum is σ = 2122306056. Its totient is φ = 963486720.

The previous prime is 1457232559. The next prime is 1457232583. The reversal of 1457232561 is 1652327541.

1457232561 is a `hidden beast` number, since 1 + 4 + 572 + 3 + 25 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 277722225 + 1179510336 = 16665^2 + 34344^2 .

It is not a de Polignac number, because 1457232561 - 21 = 1457232559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1457232521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588021 + ... + 590493.

It is an arithmetic number, because the mean of its divisors is an integer number (88429419).

Almost surely, 21457232561 is an apocalyptic number.

It is an amenable number.

1457232561 is a deficient number, since it is larger than the sum of its proper divisors (665073495).

1457232561 is a wasteful number, since it uses less digits than its factorization.

1457232561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2990 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1457232561 is about 38173.7155776065. The cubic root of 1457232561 is about 1133.7299567882.

The spelling of 1457232561 in words is "one billion, four hundred fifty-seven million, two hundred thirty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 233 281 699 843 2097 2473 2529 7419 22257 65473 196419 576209 589257 694913 1728627 2084739 5185881 6254217 161914729 485744187 1457232561