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1338825465 = 32530796911
BaseRepresentation
bin100111111001100…
…1101101011111001
310110022020101021100
41033303031223321
510220214403330
6340503402013
745114554145
oct11763155371
93408211240
101338825465
1162780642a
12314453309
131844b0023
14c9b4a225
157c80e060
hex4fccdaf9

1338825465 has 24 divisors (see below), whose sum is σ = 2328213888. Its totient is φ = 711707040.

The previous prime is 1338825461. The next prime is 1338825493. The reversal of 1338825465 is 5645288331.

1338825465 is a `hidden beast` number, since 1 + 338 + 8 + 254 + 65 = 666.

It is not a de Polignac number, because 1338825465 - 22 = 1338825461 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 1338825465.

It is not an unprimeable number, because it can be changed into a prime (1338825461) 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, 34641 + ... + 62270.

It is an arithmetic number, because the mean of its divisors is an integer number (97008912).

Almost surely, 21338825465 is an apocalyptic number.

1338825465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338825465 is a deficient number, since it is larger than the sum of its proper divisors (989388423).

1338825465 is a wasteful number, since it uses less digits than its factorization.

1338825465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97229 (or 97226 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1338825465 is about 36589.9639928765. The cubic root of 1338825465 is about 1102.1515643481.

The spelling of 1338825465 in words is "one billion, three hundred thirty-eight million, eight hundred twenty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 307 921 1535 2763 4605 13815 96911 290733 484555 872199 1453665 4360995 29751677 89255031 148758385 267765093 446275155 1338825465