Search a number
-
+
44124320 = 2552111307
BaseRepresentation
bin1010100001010…
…0100010100000
310002000202012002
42220110202200
542243434240
64213423132
71044023222
oct250244240
9102022162
1044124320
11229a8289
121293aaa8
1391abb86
145c08412
153d18d15
hex2a148a0

44124320 has 48 divisors (see below), whose sum is σ = 104817888. Its totient is φ = 17552640.

The previous prime is 44124319. The next prime is 44124343. The reversal of 44124320 is 2342144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44124292 and 44124301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33107 + ... + 34413.

It is an arithmetic number, because the mean of its divisors is an integer number (2183706).

Almost surely, 244124320 is an apocalyptic number.

44124320 is a gapful number since it is divisible by the number (40) 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 44124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52408944).

44124320 is an abundant number, since it is smaller than the sum of its proper divisors (60693568).

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

44124320 is a wasteful number, since it uses less digits than its factorization.

44124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44124320 is about 6642.6139433208. The cubic root of 44124320 is about 353.3670154988.

Adding to 44124320 its reverse (2342144), we get a palindrome (46466464).

It can be divided in two parts, 44124 and 320, that added together give a palindrome (44444).

The spelling of 44124320 in words is "forty-four million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 422 844 1055 1307 1688 2110 2614 3376 4220 5228 6535 6752 8440 10456 13070 16880 20912 26140 33760 41824 52280 104560 209120 275777 551554 1103108 1378885 2206216 2757770 4412432 5515540 8824864 11031080 22062160 44124320