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44944944 = 24311233701
BaseRepresentation
bin1010101101110…
…0111000110000
310010120102212120
42223130320300
543001214234
64243154240
71054011552
oct253347060
9103512776
1044944944
1123408890
1213075980
139408555
145d7d4d2
153e2c049
hex2adce30

44944944 has 80 divisors (see below), whose sum is σ = 132205824. Its totient is φ = 13024000.

The previous prime is 44944943. The next prime is 44945003.

44944944 is nontrivially palindromic in base 10.

44944944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44944896 and 44944905.

It is not an unprimeable number, because it can be changed into a prime (44944943) 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 15 ways as a sum of consecutive naturals, for example, 10294 + ... + 13994.

Almost surely, 244944944 is an apocalyptic number.

44944944 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 44944944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66102912).

44944944 is an abundant number, since it is smaller than the sum of its proper divisors (87260880).

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

44944944 is a wasteful number, since it uses less digits than its factorization.

44944944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3740 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 44944944 is about 6704.0990446144. The cubic root of 44944944 is about 355.5442132377.

The spelling of 44944944 in words is "forty-four million, nine hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 3701 4048 6072 7402 11103 12144 14804 22206 29608 40711 44412 59216 81422 85123 88824 122133 162844 170246 177648 244266 255369 325688 340492 488532 510738 651376 680984 936353 977064 1021476 1361968 1872706 1954128 2042952 2809059 3745412 4085904 5618118 7490824 11236236 14981648 22472472 44944944