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44252120 = 23511241223
BaseRepresentation
bin1010100011001…
…1101111011000
310002021020111102
42220303233120
542312031440
64220250532
71045064633
oct250635730
9102236442
1044252120
1122a85300
12129a0a48
1392250b3
145c3cc1a
153d41b15
hex2a33bd8

44252120 has 96 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 15628800.

The previous prime is 44252119. The next prime is 44252123. The reversal of 44252120 is 2125244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44252092 and 44252101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44252123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198329 + ... + 198551.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 244252120 is an apocalyptic number.

44252120 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 44252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

44252120 is an abundant number, since it is smaller than the sum of its proper divisors (68361640).

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

44252120 is a wasteful number, since it uses less digits than its factorization.

44252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 44252120 is about 6652.2266948744. The cubic root of 44252120 is about 353.7078462425.

Adding to 44252120 its reverse (2125244), we get a palindrome (46377364).

The spelling of 44252120 in words is "forty-four million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 223 242 328 410 440 446 451 484 605 820 892 902 968 1115 1210 1640 1784 1804 2230 2255 2420 2453 3608 4460 4510 4840 4906 4961 8920 9020 9143 9812 9922 12265 18040 18286 19624 19844 24530 24805 26983 36572 39688 45715 49060 49610 53966 73144 91430 98120 99220 100573 107932 134915 182860 198440 201146 215864 269830 365720 402292 502865 539660 804584 1005730 1079320 1106303 2011460 2212606 4022920 4425212 5531515 8850424 11063030 22126060 44252120