Search a number
-
+
44001420 = 2235799283
BaseRepresentation
bin1010011111011…
…0100010001100
310001210111121020
42213312202030
542231021140
64211034140
71043002011
oct247664214
9101714536
1044001420
1122923a11
121289b950
139167c58
145bb5708
153ce26d0
hex29f688c

44001420 has 48 divisors (see below), whose sum is σ = 124776960. Its totient is φ = 11583936.

The previous prime is 44001403. The next prime is 44001421. The reversal of 44001420 is 2410044.

44001420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×440014202 = 3872249924032800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44001420.

It is not an unprimeable number, because it can be changed into a prime (44001421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99 + ... + 9381.

It is an arithmetic number, because the mean of its divisors is an integer number (2599520).

Almost surely, 244001420 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 44001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62388480).

44001420 is an abundant number, since it is smaller than the sum of its proper divisors (80775540).

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

44001420 is a wasteful number, since it uses less digits than its factorization.

44001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44001420 is about 6633.3566163745. The cubic root of 44001420 is about 353.0386312907.

Adding to 44001420 its reverse (2410044), we get a palindrome (46411464).

The spelling of 44001420 in words is "forty-four million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 9283 18566 27849 37132 46415 55698 92830 111396 139245 185660 278490 556980 733357 1466714 2200071 2933428 3666785 4400142 7333570 8800284 11000355 14667140 22000710 44001420