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44004480 = 2735134143
BaseRepresentation
bin1010011111011…
…1010010000000
310001210122210120
42213313102000
542231120410
64211100240
71043013642
oct247672200
9101718716
1044004480
1122926243
12128a1680
139169470
145bb6892
153ce3570
hex29f7480

44004480 has 256 divisors, whose sum is σ = 158336640. Its totient is φ = 10321920.

The previous prime is 44004463. The next prime is 44004503. The reversal of 44004480 is 8440044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44004480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023339 + ... + 1023381.

Almost surely, 244004480 is an apocalyptic number.

44004480 is a gapful number since it is divisible by the number (40) 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 44004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

44004480 is an abundant number, since it is smaller than the sum of its proper divisors (114332160).

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

44004480 is a wasteful number, since it uses less digits than its factorization.

44004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 44004480 is about 6633.5872648214. The cubic root of 44004480 is about 353.0468149143.

The spelling of 44004480 in words is "forty-four million, four thousand, four hundred eighty".