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44448840 = 23325374771
BaseRepresentation
bin1010100110001…
…1110001001000
310002122020100100
42221203301020
542334330330
64224405400
71046544312
oct251436110
9102566310
1044448840
11230aa087
1212a76860
1392937b7
145c907b2
153d80060
hex2a63c48

44448840 has 192 divisors, whose sum is σ = 153653760. Its totient is φ = 11128320.

The previous prime is 44448827. The next prime is 44448871. The reversal of 44448840 is 4884444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44448795 and 44448804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626005 + ... + 626075.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 244448840 is an apocalyptic number.

44448840 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 44448840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

44448840 is an abundant number, since it is smaller than the sum of its proper divisors (109204920).

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

44448840 is a wasteful number, since it uses less digits than its factorization.

44448840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 44448840 is about 6666.9963251827. The cubic root of 44448840 is about 354.2312001129.

It can be divided in two parts, 444 and 48840, that added together give a square (49284 = 2222).

The spelling of 44448840 in words is "forty-four million, four hundred forty-eight thousand, eight hundred forty".