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37284972 = 2233107081
BaseRepresentation
bin1000111000111…
…0110001101100
32121011021100220
42032032301230
534021104342
63411051340
7631626354
oct216166154
977137326
1037284972
111a05682a
12105a0b50
137955b1a
144d47b64
1534175ec
hex238ec6c

37284972 has 12 divisors (see below), whose sum is σ = 86998296. Its totient is φ = 12428320.

The previous prime is 37284953. The next prime is 37284979. The reversal of 37284972 is 27948273.

37284972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (37284979) 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 3 ways as a sum of consecutive naturals, for example, 1553529 + ... + 1553552.

It is an arithmetic number, because the mean of its divisors is an integer number (7249858).

Almost surely, 237284972 is an apocalyptic number.

It is an amenable number.

37284972 is an abundant number, since it is smaller than the sum of its proper divisors (49713324).

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

37284972 is a wasteful number, since it uses less digits than its factorization.

37284972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107088 (or 3107086 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 37284972 is about 6106.1421536024. The cubic root of 37284972 is about 334.0754846303.

The spelling of 37284972 in words is "thirty-seven million, two hundred eighty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 3107081 6214162 9321243 12428324 18642486 37284972