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38132883 = 3329311571
BaseRepresentation
bin1001000101110…
…1110010010011
32122202100111000
42101131302103
534230223013
63441153043
7642060405
oct221356223
978670430
1038132883
111a585888
121092b783
137b91a49
1450c8b75
153533973
hex245dc93

38132883 has 32 divisors (see below), whose sum is σ = 60364800. Its totient is φ = 23738400.

The previous prime is 38132879. The next prime is 38132923. The reversal of 38132883 is 38823183.

38132883 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38132883 - 22 = 38132879 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38132803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23488 + ... + 25058.

It is an arithmetic number, because the mean of its divisors is an integer number (1886400).

Almost surely, 238132883 is an apocalyptic number.

38132883 is a deficient number, since it is larger than the sum of its proper divisors (22231917).

38132883 is a wasteful number, since it uses less digits than its factorization.

38132883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38132883 is about 6175.1828313014. The cubic root of 38132883 is about 336.5889701871.

The spelling of 38132883 in words is "thirty-eight million, one hundred thirty-two thousand, eight hundred eighty-three".

Divisors: 1 3 9 27 29 31 87 93 261 279 783 837 899 1571 2697 4713 8091 14139 24273 42417 45559 48701 136677 146103 410031 438309 1230093 1314927 1412329 4236987 12710961 38132883