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3916129 = 72229349
BaseRepresentation
bin1110111100000101100001
321100221220211
432330011201
52000304004
6215534121
745200200
oct16740541
97327824
103916129
112235278
12138a341
13a71649
1473d237
15525504
hex3bc161

3916129 has 12 divisors (see below), whose sum is σ = 4588500. Its totient is φ = 3332448.

The previous prime is 3916097. The next prime is 3916153. The reversal of 3916129 is 9216193.

3916129 is digitally balanced in base 2, 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 2 ways, for example, as 3312400 + 603729 = 1820^2 + 777^2 .

It is not a de Polignac number, because 3916129 - 25 = 3916097 is a prime.

It is an Ulam number.

3916129 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3916129.

It is not an unprimeable number, because it can be changed into a prime (3916169) 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 11 ways as a sum of consecutive naturals, for example, 11047 + ... + 11395.

It is an arithmetic number, because the mean of its divisors is an integer number (382375).

Almost surely, 23916129 is an apocalyptic number.

It is an amenable number.

3916129 is a deficient number, since it is larger than the sum of its proper divisors (672371).

3916129 is a wasteful number, since it uses less digits than its factorization.

3916129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its digits is 2916, while the sum is 31.

The square root of 3916129 is about 1978.9211707392. The cubic root of 3916129 is about 157.6227849121.

The spelling of 3916129 in words is "three million, nine hundred sixteen thousand, one hundred twenty-nine".

Divisors: 1 7 49 229 349 1603 2443 11221 17101 79921 559447 3916129