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44442112 = 291113607
BaseRepresentation
bin1010100110001…
…0001000000000
310002121220010011
42221202020000
542334121422
64224314304
71046515561
oct251421000
9102556104
1044442112
11230a5020
1212a72994
139290710
145c8c168
153d7d077
hex2a62200

44442112 has 80 divisors (see below), whose sum is σ = 104493312. Its totient is φ = 18616320.

The previous prime is 44442077. The next prime is 44442133. The reversal of 44442112 is 21124444.

It is a super-3 number, since 3×444421123 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

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 7 ways as a sum of consecutive naturals, for example, 72913 + ... + 73519.

Almost surely, 244442112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656).

44442112 is an abundant number, since it is smaller than the sum of its proper divisors (60051200).

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

44442112 is a wasteful number, since it uses less digits than its factorization.

44442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 44442112 is about 6666.4917310381. The cubic root of 44442112 is about 354.2133264723.

Adding to 44442112 its reverse (21124444), we get a palindrome (65566556).

It can be divided in two parts, 4444 and 2112, that added together give a palindrome (6556).

The spelling of 44442112 in words is "forty-four million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 607 704 832 1144 1214 1408 1664 2288 2428 2816 3328 4576 4856 5632 6656 6677 7891 9152 9712 13354 15782 18304 19424 26708 31564 36608 38848 53416 63128 73216 77696 86801 106832 126256 155392 173602 213664 252512 310784 347204 427328 505024 694408 854656 1010048 1388816 1709312 2020096 2777632 3418624 4040192 5555264 11110528 22221056 44442112