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44107920 = 2432561261
BaseRepresentation
bin1010100001000…
…0100010010000
310001222220200200
42220100202100
542242423140
64213215200
71043624343
oct250204220
9101886620
1044107920
1122996a2a
1212931500
1391a457c
145c0245a
153d14030
hex2a10890

44107920 has 60 divisors (see below), whose sum is σ = 148131516. Its totient is φ = 11761920.

The previous prime is 44107913. The next prime is 44107967. The reversal of 44107920 is 2970144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12027024 + 32080896 = 3468^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 29911 + ... + 31350.

Almost surely, 244107920 is an apocalyptic number.

44107920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44107920 is an abundant number, since it is smaller than the sum of its proper divisors (104023596).

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

44107920 is a wasteful number, since it uses less digits than its factorization.

44107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61280 (or 61271 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 44107920 is about 6641.3793747986. The cubic root of 44107920 is about 353.3232305960.

The spelling of 44107920 in words is "forty-four million, one hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 61261 122522 183783 245044 306305 367566 490088 551349 612610 735132 918915 980176 1102698 1225220 1470264 1837830 2205396 2450440 2756745 2940528 3675660 4410792 4900880 5513490 7351320 8821584 11026980 14702640 22053960 44107920