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4045416 = 233168559
BaseRepresentation
bin1111011011101001101000
321121112021020
433123221220
52013423131
6222412440
746246134
oct17335150
97545236
104045416
112313421
121431120
13ab844b
147743c4
1554d996
hex3dba68

4045416 has 16 divisors (see below), whose sum is σ = 10113600. Its totient is φ = 1348464.

The previous prime is 4045399. The next prime is 4045417. The reversal of 4045416 is 6145404.

It is a super-2 number, since 2×40454162 = 32730781226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 168559 = 4045416 / (4 + 0 + 4 + 5 + 4 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (4045417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84256 + ... + 84303.

It is an arithmetic number, because the mean of its divisors is an integer number (632100).

Almost surely, 24045416 is an apocalyptic number.

It is an amenable number.

4045416 is an abundant number, since it is smaller than the sum of its proper divisors (6068184).

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

4045416 is a wasteful number, since it uses less digits than its factorization.

4045416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168568 (or 168564 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4045416 is about 2011.3219533431. The cubic root of 4045416 is about 159.3386240703.

It can be divided in two parts, 40454 and 16, that added together give a triangular number (40470 = T284).

The spelling of 4045416 in words is "four million, forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 168559 337118 505677 674236 1011354 1348472 2022708 4045416