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44000 = 255311
BaseRepresentation
bin1010101111100000
32020100122
422233200
52402000
6535412
7242165
oct125740
966318
1044000
1130070
1221568
1317048
141206c
15d085
hexabe0

44000 has 48 divisors (see below), whose sum is σ = 117936. Its totient is φ = 16000.

The previous prime is 43997. The next prime is 44017. The reversal of 44000 is 44.

44000 = 53 + 63 + ... + 203.

It is a happy number.

44000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3995 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

244000 is an apocalyptic number.

44000 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 44000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

44000 is an abundant number, since it is smaller than the sum of its proper divisors (73936).

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

44000 is a wasteful number, since it uses less digits than its factorization.

44000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 44000 is about 209.7617696340. The cubic root of 44000 is about 35.3034833533.

Adding to 44000 its reverse (44), we get a palindrome (44044).

Subtracting from 44000 its reverse (44), we obtain a triangular number (43956 = T296).

44000 divided by its reverse (44) gives a cube (1000 = 103).

It can be divided in two parts, 4 and 4000, that added together give a palindrome (4004).

The spelling of 44000 in words is "forty-four thousand", and thus it is an eban number and an iban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000