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3728772 = 2232103577
BaseRepresentation
bin1110001110010110000100
321000102220200
432032112010
51423310042
6211530500
743460025
oct16162604
97012820
103728772
112117533
1212b9a30
13a07298
146d0c4c
154d9c4c
hex38e584

3728772 has 18 divisors (see below), whose sum is σ = 9425598. Its totient is φ = 1242912.

The previous prime is 3728759. The next prime is 3728779. The reversal of 3728772 is 2778273.

3728772 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3594816 + 133956 = 1896^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 103577 = 3728772 / (3 + 7 + 2 + 8 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (3728779) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51753 + ... + 51824.

Almost surely, 23728772 is an apocalyptic number.

It is an amenable number.

3728772 is an abundant number, since it is smaller than the sum of its proper divisors (5696826).

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

3728772 is a wasteful number, since it uses less digits than its factorization.

3728772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103587 (or 103582 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 3728772 is about 1931.0028482630. The cubic root of 3728772 is about 155.0679133542.

The spelling of 3728772 in words is "three million, seven hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 103577 207154 310731 414308 621462 932193 1242924 1864386 3728772