Search a number
-
+
44114488 = 231131103157
BaseRepresentation
bin1010100001001…
…0001000111000
310002000020200221
42220102020320
542243130423
64213305424
71043652445
oct250221070
9102006627
1044114488
11229a0960
1212935274
1391a7562
145c049cc
153d15e5d
hex2a12238

44114488 has 64 divisors (see below), whose sum is σ = 94648320. Its totient is φ = 19094400.

The previous prime is 44114467. The next prime is 44114503. The reversal of 44114488 is 88441144.

It is a super-5 number, since 5×441144885 (a number of 39 digits) contains 55555 as substring.

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

It is a zygodrome in base 10.

It is a congruent number.

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, 280906 + ... + 281062.

It is an arithmetic number, because the mean of its divisors is an integer number (1478880).

Almost surely, 244114488 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 44114488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47324160).

44114488 is an abundant number, since it is smaller than the sum of its proper divisors (50533832).

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

44114488 is a wasteful number, since it uses less digits than its factorization.

44114488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 44114488 is about 6641.8738319845. The cubic root of 44114488 is about 353.3407672183.

The spelling of 44114488 in words is "forty-four million, one hundred fourteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 103 124 157 206 248 314 341 412 628 682 824 1133 1256 1364 1727 2266 2728 3193 3454 4532 4867 6386 6908 9064 9734 12772 13816 16171 19468 25544 32342 35123 38936 53537 64684 70246 107074 129368 140492 177881 214148 280984 355762 428296 501301 711524 1002602 1423048 2005204 4010408 5514311 11028622 22057244 44114488