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44004384 = 25355659
BaseRepresentation
bin1010011111011…
…1010000100000
310001210122200000
42213313100200
542231120014
64211100000
71043013444
oct247672040
9101718600
1044004384
1122926166
12128a1600
1391693c8
145bb6824
153ce3509
hex29f7420

44004384 has 72 divisors (see below), whose sum is σ = 129795120. Its totient is φ = 14665536.

The previous prime is 44004377. The next prime is 44004391. The reversal of 44004384 is 48340044.

It is an interprime number because it is at equal distance from previous prime (44004377) and next prime (44004391).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×440043842 = 3872771622438912, which contains 22 as substring.

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

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4947 + ... + 10605.

It is an arithmetic number, because the mean of its divisors is an integer number (1802710).

Almost surely, 244004384 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 44004384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64897560).

44004384 is an abundant number, since it is smaller than the sum of its proper divisors (85790736).

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

44004384 is an equidigital number, since it uses as much as digits as its factorization.

44004384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44004384 is about 6633.5800289135. The cubic root of 44004384 is about 353.0465581789.

The spelling of 44004384 in words is "forty-four million, four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5659 7776 11318 16977 22636 33954 45272 50931 67908 90544 101862 135816 152793 181088 203724 271632 305586 407448 458379 543264 611172 814896 916758 1222344 1375137 1629792 1833516 2444688 2750274 3667032 4889376 5500548 7334064 11001096 14668128 22002192 44004384