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44001312 = 253676841
BaseRepresentation
bin1010011111011…
…0100000100000
310001210111110020
42213312200200
542231020222
64211033440
71043001465
oct247664040
9101714406
1044001312
1122923923
121289b880
139167ba4
145bb566c
153ce265c
hex29f6820

44001312 has 48 divisors (see below), whose sum is σ = 117244512. Its totient is φ = 14446080.

The previous prime is 44001311. The next prime is 44001403. The reversal of 44001312 is 21310044.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×440013122 = 3872230915442688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44001291 and 44001300.

It is not an unprimeable number, because it can be changed into a prime (44001311) 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, 3012 + ... + 9852.

It is an arithmetic number, because the mean of its divisors is an integer number (2442594).

Almost surely, 244001312 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 44001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58622256).

44001312 is an abundant number, since it is smaller than the sum of its proper divisors (73243200).

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

44001312 is a wasteful number, since it uses less digits than its factorization.

44001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 44001312 is about 6633.3484756946. The cubic root of 44001312 is about 353.0383424500.

Adding to 44001312 its reverse (21310044), we get a palindrome (65311356).

The spelling of 44001312 in words is "forty-four million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 6841 13682 20523 27364 41046 54728 82092 109456 164184 218912 328368 458347 656736 916694 1375041 1833388 2750082 3666776 5500164 7333552 11000328 14667104 22000656 44001312