Search a number
-
+
44442024 = 23311712371
BaseRepresentation
bin1010100110001…
…0000110101000
310002121212222220
42221202012220
542334121044
64224314040
71046515404
oct251420650
9102555886
1044442024
11230a4a50
1212a72920
139290673
145c8c104
153d7d019
hex2a621a8

44442024 has 64 divisors (see below), whose sum is σ = 122964480. Its totient is φ = 13272000.

The previous prime is 44442017. The next prime is 44442031. The reversal of 44442024 is 42024444.

It is an interprime number because it is at equal distance from previous prime (44442017) and next prime (44442031).

It is a super-3 number, since 3×444420243 (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44441985 and 44442003.

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, 17559 + ... + 19929.

It is an arithmetic number, because the mean of its divisors is an integer number (1921320).

Almost surely, 244442024 is an apocalyptic number.

44442024 is a gapful number since it is divisible by the number (44) 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 44442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61482240).

44442024 is an abundant number, since it is smaller than the sum of its proper divisors (78522456).

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

44442024 is a wasteful number, since it uses less digits than its factorization.

44442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 44442024 is about 6666.4851308617. The cubic root of 44442024 is about 354.2130926791.

Adding to 44442024 its reverse (42024444), we get a palindrome (86466468).

It can be divided in two parts, 444420 and 24, that added together give a palindrome (444444).

The spelling of 44442024 in words is "forty-four million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 2371 3124 4686 4742 6248 7113 9372 9484 14226 18744 18968 26081 28452 52162 56904 78243 104324 156486 168341 208648 312972 336682 505023 625944 673364 1010046 1346728 1851751 2020092 3703502 4040184 5555253 7407004 11110506 14814008 22221012 44442024