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38825633 = 7112231993
BaseRepresentation
bin1001010000011…
…0111010100001
32201001112202102
42110012322201
534414410013
63504100145
7651004160
oct224067241
981045672
1038825633
111aa09300
1211004655
138075162
1452293d7
15361dd58
hex2506ea1

38825633 has 24 divisors (see below), whose sum is σ = 50918784. Its totient is φ = 28923840.

The previous prime is 38825623. The next prime is 38825639. The reversal of 38825633 is 33652883.

It is not a de Polignac number, because 38825633 - 212 = 38821537 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38825639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18485 + ... + 20477.

It is an arithmetic number, because the mean of its divisors is an integer number (2121616).

Almost surely, 238825633 is an apocalyptic number.

It is an amenable number.

38825633 is a deficient number, since it is larger than the sum of its proper divisors (12093151).

38825633 is a wasteful number, since it uses less digits than its factorization.

38825633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2034 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 38825633 is about 6231.0218263139. The cubic root of 38825633 is about 338.6149914741.

The spelling of 38825633 in words is "thirty-eight million, eight hundred twenty-five thousand, six hundred thirty-three".

Divisors: 1 7 11 23 77 121 161 253 847 1771 1993 2783 13951 19481 21923 45839 153461 241153 320873 504229 1688071 3529603 5546519 38825633