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44413416 = 23321573929
BaseRepresentation
bin1010100101101…
…1000111101000
310002120102202100
42221123013220
542332212131
64223533400
71046336115
oct251330750
9102512670
1044413416
1123085503
1212a5a260
139280638
145c8190c
153d747e6
hex2a5b1e8

44413416 has 48 divisors (see below), whose sum is σ = 121083300. Its totient is φ = 14706432.

The previous prime is 44413409. The next prime is 44413427. The reversal of 44413416 is 61431444.

44413416 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 40373316 + 4040100 = 6354^2 + 2010^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44413416.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9340 + ... + 13268.

Almost surely, 244413416 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 44413416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60541650).

44413416 is an abundant number, since it is smaller than the sum of its proper divisors (76669884).

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

44413416 is a wasteful number, since it uses less digits than its factorization.

44413416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4091 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 44413416 is about 6664.3391270253. The cubic root of 44413416 is about 354.1370722645.

The spelling of 44413416 in words is "forty-four million, four hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 3929 5652 7858 11304 11787 15716 23574 31432 35361 47148 70722 94296 141444 282888 616853 1233706 1850559 2467412 3701118 4934824 5551677 7402236 11103354 14804472 22206708 44413416