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44100016 = 2423293409
BaseRepresentation
bin1010100000111…
…0100110110000
310001222111211221
42220032212300
542242200031
64213114424
71043562322
oct250164660
9101874757
1044100016
1122990aa4
1212928a14
1391a0aac
145bdd612
153d11a11
hex2a0e9b0

44100016 has 40 divisors (see below), whose sum is σ = 89681760. Its totient is φ = 20967936.

The previous prime is 44100013. The next prime is 44100019. The reversal of 44100016 is 61000144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44100013) and next prime (44100019).

It is a super-2 number, since 2×441000162 = 3889622822400512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (44100013) 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 7 ways as a sum of consecutive naturals, for example, 107620 + ... + 108028.

It is an arithmetic number, because the mean of its divisors is an integer number (2242044).

Almost surely, 244100016 is an apocalyptic number.

44100016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44100016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44840880).

44100016 is an abundant number, since it is smaller than the sum of its proper divisors (45581744).

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

44100016 is a wasteful number, since it uses less digits than its factorization.

44100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 44100016 is about 6640.7842910307. The cubic root of 44100016 is about 353.3021245328.

The spelling of 44100016 in words is "forty-four million, one hundred thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 293 368 409 586 818 1172 1636 2344 3272 4688 6544 6739 9407 13478 18814 26956 37628 53912 75256 107824 119837 150512 239674 479348 958696 1917392 2756251 5512502 11025004 22050008 44100016