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37985972 = 2223412891
BaseRepresentation
bin1001000011100…
…1111010110100
32122110212221212
42100321322310
534211022342
63434100552
7640606163
oct220717264
978425855
1037985972
111a495472
121087a758
137b3cc0b
14508b3da
153505182
hex2439eb4

37985972 has 12 divisors (see below), whose sum is σ = 69365856. Its totient is φ = 18167160.

The previous prime is 37985971. The next prime is 37985989. The reversal of 37985972 is 27958973.

It is a happy number.

37985972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 37985972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37985971) 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, 206354 + ... + 206537.

It is an arithmetic number, because the mean of its divisors is an integer number (5780488).

Almost surely, 237985972 is an apocalyptic number.

It is an amenable number.

37985972 is a deficient number, since it is larger than the sum of its proper divisors (31379884).

37985972 is a wasteful number, since it uses less digits than its factorization.

37985972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412918 (or 412916 counting only the distinct ones).

The product of its digits is 952560, while the sum is 50.

The square root of 37985972 is about 6163.2760768929. The cubic root of 37985972 is about 336.1561655961.

The spelling of 37985972 in words is "thirty-seven million, nine hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 23 46 92 412891 825782 1651564 9496493 18992986 37985972