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37889064 = 2332539929
BaseRepresentation
bin1001000010001…
…0010000101000
32122021222000200
42100202100220
534144422224
63432032200
7640023513
oct220422050
978258020
1037889064
111a429684
1210832660
137b07a85
145063d7a
1534d65c9
hex2422428

37889064 has 48 divisors (see below), whose sum is σ = 104562900. Its totient is φ = 12390144.

The previous prime is 37889057. The next prime is 37889069. The reversal of 37889064 is 46098873.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37822500 + 66564 = 6150^2 + 258^2 .

It is not an unprimeable number, because it can be changed into a prime (37889069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1149 + ... + 8780.

Almost surely, 237889064 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 37889064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52281450).

37889064 is an abundant number, since it is smaller than the sum of its proper divisors (66673836).

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

37889064 is a wasteful number, since it uses less digits than its factorization.

37889064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 37889064 is about 6155.4093283875. The cubic root of 37889064 is about 335.8700602997.

The spelling of 37889064 in words is "thirty-seven million, eight hundred eighty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 9929 19858 29787 39716 59574 79432 89361 119148 178722 238296 357444 526237 714888 1052474 1578711 2104948 3157422 4209896 4736133 6314844 9472266 12629688 18944532 37889064