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38132208 = 243429423
BaseRepresentation
bin1001000101110…
…1100111110000
32122202022120000
42101131213300
534230212313
63441150000
7642055422
oct221354760
978668500
1038132208
111a585324
121092b300
137b9164a
1450c8812
153533673
hex245d9f0

38132208 has 50 divisors (see below), whose sum is σ = 110369424. Its totient is φ = 12710304.

The previous prime is 38132167. The next prime is 38132209. The reversal of 38132208 is 80223183.

38132208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38132209) 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 9 ways as a sum of consecutive naturals, for example, 13416 + ... + 16007.

Almost surely, 238132208 is an apocalyptic number.

It is an amenable number.

38132208 is an abundant number, since it is smaller than the sum of its proper divisors (72237216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38132208 is a wasteful number, since it uses less digits than its factorization.

38132208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29443 (or 29428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38132208 is about 6175.1281768073. The cubic root of 38132208 is about 336.5869841593.

The spelling of 38132208 in words is "thirty-eight million, one hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 29423 58846 88269 117692 176538 235384 264807 353076 470768 529614 706152 794421 1059228 1412304 1588842 2118456 2383263 3177684 4236912 4766526 6355368 9533052 12710736 19066104 38132208