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44441328 = 2433592579
BaseRepresentation
bin1010100110000…
…1111011110000
310002121212001010
42221201323300
542334110303
64224310520
71046513361
oct251417360
9102555033
1044441328
11230a4478
1212a72440
139290259
145c8bb68
153d7cc03
hex2a61ef0

44441328 has 40 divisors (see below), whose sum is σ = 115171200. Its totient is φ = 14766784.

The previous prime is 44441303. The next prime is 44441347. The reversal of 44441328 is 82314444.

44441328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44441295 and 44441304.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15943 + ... + 18521.

It is an arithmetic number, because the mean of its divisors is an integer number (2879280).

Almost surely, 244441328 is an apocalyptic number.

44441328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44441328 is an abundant number, since it is smaller than the sum of its proper divisors (70729872).

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

44441328 is a wasteful number, since it uses less digits than its factorization.

44441328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2943 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 44441328 is about 6666.4329292358. The cubic root of 44441328 is about 354.2112435764.

The spelling of 44441328 in words is "forty-four million, four hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 359 718 1077 1436 2154 2579 2872 4308 5158 5744 7737 8616 10316 15474 17232 20632 30948 41264 61896 123792 925861 1851722 2777583 3703444 5555166 7406888 11110332 14813776 22220664 44441328