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44122000 = 2453131697
BaseRepresentation
bin1010100001001…
…1111110010000
310002000122000011
42220103332100
542243401000
64213404304
71044013366
oct250237620
9102018004
1044122000
11229a656a
1212939694
1391aaac0
145c07636
153d182ba
hex2a13f90

44122000 has 80 divisors (see below), whose sum is σ = 114961392. Its totient is φ = 16281600.

The previous prime is 44121949. The next prime is 44122037. The reversal of 44122000 is 22144.

It can be written as a sum of positive squares in 8 ways, for example, as 10342656 + 33779344 = 3216^2 + 5812^2 .

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 (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25152 + ... + 26848.

Almost surely, 244122000 is an apocalyptic number.

44122000 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 44122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57480696).

44122000 is an abundant number, since it is smaller than the sum of its proper divisors (70839392).

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

44122000 is a wasteful number, since it uses less digits than its factorization.

44122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 44122000 is about 6642.4393109761. The cubic root of 44122000 is about 353.3608221958.

Adding to 44122000 its reverse (22144), we get a palindrome (44144144).

The spelling of 44122000 in words is "forty-four million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 1697 2000 2600 3250 3394 5200 6500 6788 8485 13000 13576 16970 22061 26000 27152 33940 42425 44122 67880 84850 88244 110305 135760 169700 176488 212125 220610 339400 352976 424250 441220 551525 678800 848500 882440 1103050 1697000 1764880 2206100 2757625 3394000 4412200 5515250 8824400 11030500 22061000 44122000