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4044816 = 24343121
BaseRepresentation
bin1111011011100000010000
321121111110000
433123200100
52013413231
6222410000
746244316
oct17334020
97544400
104044816
112312a26
121430900
13ab80a9
147740b6
1554d6e6
hex3db810

4044816 has 50 divisors (see below), whose sum is σ = 11710622. Its totient is φ = 1347840.

The previous prime is 4044811. The next prime is 4044841. The reversal of 4044816 is 6184404.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1971216 = 1440^2 + 1404^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4044816.

It is not an unprimeable number, because it can be changed into a prime (4044811) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 265 + ... + 2856.

Almost surely, 24044816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855311).

4044816 is an abundant number, since it is smaller than the sum of its proper divisors (7665806).

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

4044816 is a wasteful number, since it uses less digits than its factorization.

4044816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4044816 is about 2011.1727921787. The cubic root of 4044816 is about 159.3307461906.

The spelling of 4044816 in words is "four million, forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3121 6242 9363 12484 18726 24968 28089 37452 49936 56178 74904 84267 112356 149808 168534 224712 252801 337068 449424 505602 674136 1011204 1348272 2022408 4044816