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1353748257 = 32150416473
BaseRepresentation
bin101000010110000…
…1000111100100001
310111100022112111100
41100230020330201
510233024421012
6342155305013
745355445631
oct12054107441
93440275440
101353748257
11635179114
1231944b169
13187606494
14cbb126c1
157dcaa8dc
hex50b08f21

1353748257 has 6 divisors (see below), whose sum is σ = 1955414162. Its totient is φ = 902498832.

The previous prime is 1353748241. The next prime is 1353748273. The reversal of 1353748257 is 7528473531.

1353748257 is a `hidden beast` number, since 1 + 353 + 7 + 48 + 257 = 666.

It is an interprime number because it is at equal distance from previous prime (1353748241) and next prime (1353748273).

It can be written as a sum of positive squares in only one way, i.e., 1096338321 + 257409936 = 33111^2 + 16044^2 .

It is not a de Polignac number, because 1353748257 - 24 = 1353748241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353748457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75208228 + ... + 75208245.

Almost surely, 21353748257 is an apocalyptic number.

It is an amenable number.

1353748257 is a deficient number, since it is larger than the sum of its proper divisors (601665905).

1353748257 is a wasteful number, since it uses less digits than its factorization.

1353748257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150416479 (or 150416476 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 1353748257 is about 36793.3181026121. The cubic root of 1353748257 is about 1106.2313708248.

The spelling of 1353748257 in words is "one billion, three hundred fifty-three million, seven hundred forty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 150416473 451249419 1353748257