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44288055 = 3257592383
BaseRepresentation
bin1010100011110…
…0100000110111
310002100001210100
42220330200313
542314204210
64221125143
71045304460
oct250744067
9102301710
1044288055
1122aaa2a9
12129b97b3
139238566
145c4bd67
153d4c5c0
hex2a3c837

44288055 has 48 divisors (see below), whose sum is σ = 89256960. Its totient is φ = 19894464.

The previous prime is 44288051. The next prime is 44288059. The reversal of 44288055 is 55088244.

44288055 = T241 + T242 + ... + T653.

44288055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44288051) and next prime (44288059).

It is not a de Polignac number, because 44288055 - 22 = 44288051 is a prime.

It is a super-2 number, since 2×442880552 = 3922863631366050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44288051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17394 + ... + 19776.

It is an arithmetic number, because the mean of its divisors is an integer number (1859520).

Almost surely, 244288055 is an apocalyptic number.

44288055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

44288055 is an abundant number, since it is smaller than the sum of its proper divisors (44968905).

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

44288055 is a wasteful number, since it uses less digits than its factorization.

44288055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 44288055 is about 6654.9271220653. The cubic root of 44288055 is about 353.8035633327.

The spelling of 44288055 in words is "forty-four million, two hundred eighty-eight thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 885 1239 2065 2383 2655 3717 6195 7149 11915 16681 18585 21447 35745 50043 83405 107235 140597 150129 250215 421791 702985 750645 984179 1265373 2108955 2952537 4920895 6326865 8857611 14762685 44288055