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36044424 = 23321397397
BaseRepresentation
bin1000100101111…
…1111010001000
32111211020122200
42021133322020
533211410144
63324320200
7615241533
oct211377210
974736580
1036044424
1119389789
12100a3060
137610280
144b03a1a
15326ec69
hex225fe88

36044424 has 96 divisors (see below), whose sum is σ = 106480920. Its totient is φ = 10948608.

The previous prime is 36044423. The next prime is 36044431. The reversal of 36044424 is 42444063.

36044424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26936100 + 9108324 = 5190^2 + 3018^2 .

It is not an unprimeable number, because it can be changed into a prime (36044423) 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 23 ways as a sum of consecutive naturals, for example, 90594 + ... + 90990.

Almost surely, 236044424 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 36044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53240460).

36044424 is an abundant number, since it is smaller than the sum of its proper divisors (70436496).

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

36044424 is a wasteful number, since it uses less digits than its factorization.

36044424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 36044424 is about 6003.7008586371. The cubic root of 36044424 is about 330.3284883349.

Adding to 36044424 its reverse (42444063), we get a palindrome (78488487).

The spelling of 36044424 in words is "thirty-six million, forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 97 104 117 156 194 234 291 312 388 397 468 582 776 794 873 936 1164 1191 1261 1588 1746 2328 2382 2522 3176 3492 3573 3783 4764 5044 5161 6984 7146 7566 9528 10088 10322 11349 14292 15132 15483 20644 22698 28584 30264 30966 38509 41288 45396 46449 61932 77018 90792 92898 115527 123864 154036 185796 231054 308072 346581 371592 462108 500617 693162 924216 1001234 1386324 1501851 2002468 2772648 3003702 4004936 4505553 6007404 9011106 12014808 18022212 36044424