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44312424 = 233131091303
BaseRepresentation
bin1010100100001…
…0011101101000
310002101022012220
42221002131220
542320444144
64221434040
71045435512
oct251023550
9102338186
1044312424
1123016642
1212a0b920
139246690
145c56bb2
153d54919
hex2a42768

44312424 has 64 divisors (see below), whose sum is σ = 120489600. Its totient is φ = 13499136.

The previous prime is 44312419. The next prime is 44312483. The reversal of 44312424 is 42421344.

It is a happy number.

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

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 = 44312394 and 44312403.

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 15 ways as a sum of consecutive naturals, for example, 33357 + ... + 34659.

It is an arithmetic number, because the mean of its divisors is an integer number (1882650).

Almost surely, 244312424 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 44312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60244800).

44312424 is an abundant number, since it is smaller than the sum of its proper divisors (76177176).

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

44312424 is a wasteful number, since it uses less digits than its factorization.

44312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 44312424 is about 6656.7577693649. The cubic root of 44312424 is about 353.8684435670.

Adding to 44312424 its reverse (42421344), we get a palindrome (86733768).

The spelling of 44312424 in words is "forty-four million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 654 872 1303 1308 1417 2606 2616 2834 3909 4251 5212 5668 7818 8502 10424 11336 15636 16939 17004 31272 33878 34008 50817 67756 101634 135512 142027 203268 284054 406536 426081 568108 852162 1136216 1704324 1846351 3408648 3692702 5539053 7385404 11078106 14770808 22156212 44312424