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44893440 = 28345433
BaseRepresentation
bin1010101101000…
…0010100000000
310010110211020000
42223100110000
542443042230
64242120000
71053405444
oct253202400
9103424200
1044893440
1123383119
1213050000
1393bac87
145d68824
153e1bb60
hex2ad0500

44893440 has 180 divisors, whose sum is σ = 161007924. Its totient is φ = 11943936.

The previous prime is 44893439. The next prime is 44893463. The reversal of 44893440 is 4439844.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 34857216 = 3168^2 + 5904^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44893395 and 44893404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103464 + ... + 103896.

Almost surely, 244893440 is an apocalyptic number.

44893440 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 44893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80503962).

44893440 is an abundant number, since it is smaller than the sum of its proper divisors (116114484).

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

44893440 is an equidigital number, since it uses as much as digits as its factorization.

44893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 44893440 is about 6700.2567114999. The cubic root of 44893440 is about 355.4083511010.

The spelling of 44893440 in words is "forty-four million, eight hundred ninety-three thousand, four hundred forty".