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38932993 = 1129312127
BaseRepresentation
bin1001010010000…
…1001000000001
32201021000000201
42110201020001
534431323433
63510245201
7651632161
oct224411001
981230021
1038932993
111aa81a30
1211056801
1380b1c98
1452565a1
153640a7d
hex2521201

38932993 has 24 divisors (see below), whose sum is σ = 45757440. Its totient is φ = 32810400.

The previous prime is 38932969. The next prime is 38933003. The reversal of 38932993 is 39923983.

It is a happy number.

It is not a de Polignac number, because 38932993 - 217 = 38801921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38932393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306496 + ... + 306622.

It is an arithmetic number, because the mean of its divisors is an integer number (1906560).

Almost surely, 238932993 is an apocalyptic number.

It is an amenable number.

38932993 is a deficient number, since it is larger than the sum of its proper divisors (6824447).

38932993 is a wasteful number, since it uses less digits than its factorization.

38932993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its digits is 314928, while the sum is 46.

The square root of 38932993 is about 6239.6308384391. The cubic root of 38932993 is about 338.9268150971.

It can be divided in two parts, 3893 and 2993, that added together give a palindrome (6886).

The spelling of 38932993 in words is "thirty-eight million, nine hundred thirty-two thousand, nine hundred ninety-three".

Divisors: 1 11 29 31 127 319 341 899 961 1397 3683 3937 9889 10571 27869 40513 43307 114173 122047 306559 1255903 1342517 3539363 38932993