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44427120 = 24351710889
BaseRepresentation
bin1010100101111…
…0011101110000
310002121010112220
42221132131300
542333131440
64224121040
71046424063
oct251363560
9102533486
1044427120
1123094831
1212a66180
13928694a
145c868da
153d788d0
hex2a5e770

44427120 has 80 divisors (see below), whose sum is σ = 145838880. Its totient is φ = 11149312.

The previous prime is 44427113. The next prime is 44427139. The reversal of 44427120 is 2172444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 244427120 is an apocalyptic number.

44427120 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 44427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

44427120 is an abundant number, since it is smaller than the sum of its proper divisors (101411760).

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

44427120 is a wasteful number, since it uses less digits than its factorization.

44427120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 44427120 is about 6665.3672066886. The cubic root of 44427120 is about 354.1734921560.

Adding to 44427120 its reverse (2172444), we get a palindrome (46599564).

The spelling of 44427120 in words is "forty-four million, four hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 10889 21778 32667 43556 54445 65334 87112 108890 130668 163335 174224 185113 217780 261336 326670 370226 435560 522672 555339 653340 740452 871120 925565 1110678 1306680 1480904 1851130 2221356 2613360 2776695 2961808 3702260 4442712 5553390 7404520 8885424 11106780 14809040 22213560 44427120