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44108064 = 25347111317
BaseRepresentation
bin1010100001000…
…0100100100000
310001222220220000
42220100210200
542242424224
64213220000
71043624640
oct250204440
9101886800
1044108064
1122997050
1212931600
1391a4660
145c02520
153d140c9
hex2a10920

44108064 has 480 divisors, whose sum is σ = 184415616. Its totient is φ = 9953280.

The previous prime is 44108059. The next prime is 44108069. The reversal of 44108064 is 46080144.

44108064 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (44108059) and next prime (44108069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44108069) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2594584 + ... + 2594600.

Almost surely, 244108064 is an apocalyptic number.

44108064 is a gapful number since it is divisible by the number (44) 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 44108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

44108064 is an abundant number, since it is smaller than the sum of its proper divisors (140307552).

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

44108064 is a wasteful number, since it uses less digits than its factorization.

44108064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 44108064 is about 6641.3902159111. The cubic root of 44108064 is about 353.3236150960.

It can be divided in two parts, 441080 and 64, that added together give a palindrome (441144).

The spelling of 44108064 in words is "forty-four million, one hundred eight thousand, sixty-four".