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44880 = 24351117
BaseRepresentation
bin1010111101010000
32021120020
422331100
52414010
6543440
7244563
oct127520
967506
1044880
11307a0
1221b80
1317574
14124da
15d470
hexaf50

44880 has 80 divisors (see below), whose sum is σ = 160704. Its totient is φ = 10240.

The previous prime is 44879. The next prime is 44887. The reversal of 44880 is 8844.

It can be divided in two parts, 448 and 80, that added together give a triangular number (528 = T32).

44880 = T64 + T65 + ... + T80.

44880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 44880.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44880.

It is not an unprimeable number, because it can be changed into a prime (44887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632 + ... + 2648.

244880 is an apocalyptic number.

44880 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 44880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

44880 is an abundant number, since it is smaller than the sum of its proper divisors (115824).

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

44880 is a wasteful number, since it uses less digits than its factorization.

44880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 44880 is about 211.8490028298. The cubic root of 44880 is about 35.5372880700.

The spelling of 44880 in words is "forty-four thousand, eight hundred eighty".