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1457922465 = 325171905781
BaseRepresentation
bin101011011100110…
…0010000110100001
310202121100010122100
41112321202012201
510441212004330
6400400201013
751062064546
oct12671420641
93677303570
101457922465
11688a607aa
12348309169
131a307bc1c
14db8acbcd
1587ed7060
hex56e621a1

1457922465 has 24 divisors (see below), whose sum is σ = 2675717928. Its totient is φ = 731819520.

The previous prime is 1457922457. The next prime is 1457922523. The reversal of 1457922465 is 5642297541.

1457922465 is a `hidden beast` number, since 14 + 579 + 2 + 2 + 4 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117483921 + 1340438544 = 10839^2 + 36612^2 .

It is not a de Polignac number, because 1457922465 - 23 = 1457922457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1457922465.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952126 + ... + 953655.

It is an arithmetic number, because the mean of its divisors is an integer number (111488247).

Almost surely, 21457922465 is an apocalyptic number.

1457922465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1457922465 is a deficient number, since it is larger than the sum of its proper divisors (1217795463).

1457922465 is a wasteful number, since it uses less digits than its factorization.

1457922465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905809 (or 1905806 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 1457922465 is about 38182.7508830886. The cubic root of 1457922465 is about 1133.9088441419.

The spelling of 1457922465 in words is "one billion, four hundred fifty-seven million, nine hundred twenty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1905781 5717343 9528905 17152029 28586715 32398277 85760145 97194831 161991385 291584493 485974155 1457922465