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3979136 = 2774441
BaseRepresentation
bin1111001011011110000000
321111011100102
433023132000
52004313021
6221141532
745551660
oct17133600
97434312
103979136
112278647
1213ba8a8
13a94225
147581a0
1553900b
hex3cb780

3979136 has 32 divisors (see below), whose sum is σ = 9061680. Its totient is φ = 1704960.

The previous prime is 3979133. The next prime is 3979141. The reversal of 3979136 is 6319793.

3979136 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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3979136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979133) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1325 + ... + 3116.

Almost surely, 23979136 is an apocalyptic number.

It is an amenable number.

3979136 is an abundant number, since it is smaller than the sum of its proper divisors (5082544).

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

3979136 is an equidigital number, since it uses as much as digits as its factorization.

3979136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4450 counting only the distinct ones).

The product of its digits is 30618, while the sum is 38.

The square root of 3979136 is about 1994.7771805392. Note that the first 3 decimals coincide. The cubic root of 3979136 is about 158.4636278066.

The spelling of 3979136 in words is "three million, nine hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 4441 8882 17764 31087 35528 62174 71056 124348 142112 248696 284224 497392 568448 994784 1989568 3979136