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37929980 = 22511533253
BaseRepresentation
bin1001000010110…
…0001111111100
32122101001011002
42100230033330
534202224410
63432545432
7640254014
oct220541774
978331132
1037929980
111a4573a0
1210852278
137b2059a
145074c44
1534e37a5
hex242c3fc

37929980 has 48 divisors (see below), whose sum is σ = 88560864. Its totient is φ = 13528320.

The previous prime is 37929977. The next prime is 37929989. The reversal of 37929980 is 8992973.

37929980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37929989) 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 15 ways as a sum of consecutive naturals, for example, 10034 + ... + 13286.

It is an arithmetic number, because the mean of its divisors is an integer number (1845018).

Almost surely, 237929980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37929980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44280432).

37929980 is an abundant number, since it is smaller than the sum of its proper divisors (50630884).

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

37929980 is a wasteful number, since it uses less digits than its factorization.

37929980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 37929980 is about 6158.7320123545. The cubic root of 37929980 is about 335.9909176494.

The spelling of 37929980 in words is "thirty-seven million, nine hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 3253 5830 6506 11660 13012 16265 32530 35783 65060 71566 143132 172409 178915 344818 357830 689636 715660 862045 1724090 1896499 3448180 3792998 7585996 9482495 18964990 37929980