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44122640 = 245896197
BaseRepresentation
bin1010100001010…
…0001000010000
310002000122212212
42220110020100
542243411030
64213411252
71044015302
oct250241020
9102018785
1044122640
11229a6aa1
1212939b28
1391ab193
145c07972
153d18595
hex2a14210

44122640 has 40 divisors (see below), whose sum is σ = 103754520. Its totient is φ = 17447936.

The previous prime is 44122609. The next prime is 44122651. The reversal of 44122640 is 4622144.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 43665664 = 676^2 + 6608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4022 + ... + 10218.

It is an arithmetic number, because the mean of its divisors is an integer number (2593863).

Almost surely, 244122640 is an apocalyptic number.

44122640 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 44122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51877260).

44122640 is an abundant number, since it is smaller than the sum of its proper divisors (59631880).

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

44122640 is a wasteful number, since it uses less digits than its factorization.

44122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 44122640 is about 6642.4874858745. The cubic root of 44122640 is about 353.3625307149.

Adding to 44122640 its reverse (4622144), we get a palindrome (48744784).

The spelling of 44122640 in words is "forty-four million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 6197 7120 12394 24788 30985 49576 61970 99152 123940 247880 495760 551533 1103066 2206132 2757665 4412264 5515330 8824528 11030660 22061320 44122640