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3827916 = 2232106331
BaseRepresentation
bin1110100110100011001100
321012110220200
432212203030
51434443131
6214013500
744352051
oct16464314
97173820
103827916
112184a74
121347290
13a40451
14719028
155092e6
hex3a68cc

3827916 has 18 divisors (see below), whose sum is σ = 9676212. Its totient is φ = 1275960.

The previous prime is 3827899. The next prime is 3827927. The reversal of 3827916 is 6197283.

3827916 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 (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: 106331 = 3827916 / (3 + 8 + 2 + 7 + 9 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53130 + ... + 53201.

Almost surely, 23827916 is an apocalyptic number.

3827916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3827916 is an abundant number, since it is smaller than the sum of its proper divisors (5848296).

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

3827916 is a wasteful number, since it uses less digits than its factorization.

3827916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106341 (or 106336 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3827916 is about 1956.5060695025. The cubic root of 3827916 is about 156.4302717202.

The spelling of 3827916 in words is "three million, eight hundred twenty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 106331 212662 318993 425324 637986 956979 1275972 1913958 3827916