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44442384 = 2437294561
BaseRepresentation
bin1010100110001…
…0001100010000
310002121220111020
42221202030100
542334124014
64224315440
71046516430
oct251421420
9102556436
1044442384
11230a5248
1212a72b80
13929088c
145c8c2c0
153d7d1a9
hex2a62310

44442384 has 80 divisors (see below), whose sum is σ = 135765120. Its totient is φ = 12257280.

The previous prime is 44442383. The next prime is 44442421. The reversal of 44442384 is 48324444.

It is a super-3 number, since 3×444423843 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (44442383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7464 + ... + 12024.

It is an arithmetic number, because the mean of its divisors is an integer number (1697064).

Almost surely, 244442384 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 44442384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67882560).

44442384 is an abundant number, since it is smaller than the sum of its proper divisors (91322736).

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

44442384 is a wasteful number, since it uses less digits than its factorization.

44442384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4602 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 44442384 is about 6666.5121315423. The cubic root of 44442384 is about 354.2140491039.

The spelling of 44442384 in words is "forty-four million, four hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4561 4872 9122 9744 13683 18244 27366 31927 36488 54732 63854 72976 95781 109464 127708 132269 191562 218928 255416 264538 383124 396807 510832 529076 766248 793614 925883 1058152 1532496 1587228 1851766 2116304 2777649 3174456 3703532 5555298 6348912 7407064 11110596 14814128 22221192 44442384