Search a number
-
+
4532441368 = 2371315141231
BaseRepresentation
bin1000011100010011…
…11001000100011000
3102200212120212200211
410032021321010120
533240301110433
62025425540504
7220214054530
oct41611710430
912625525624
104532441368
111a16499314
12a65aa4734
13573024a90
1430dd524c0
151b7d9a8cd
hex10e279118

4532441368 has 64 divisors (see below), whose sum is σ = 10529003520. Its totient is φ = 1781136000.

The previous prime is 4532441363. The next prime is 4532441399. The reversal of 4532441368 is 8631442354.

It is a super-2 number, since 2×45324413682 = 41086049508715422848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4532441368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532441363) 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, 89313 + ... + 130543.

It is an arithmetic number, because the mean of its divisors is an integer number (164515680).

Almost surely, 24532441368 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 4532441368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264501760).

4532441368 is an abundant number, since it is smaller than the sum of its proper divisors (5996562152).

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

4532441368 is a wasteful number, since it uses less digits than its factorization.

4532441368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41408 (or 41404 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 4532441368 is about 67323.4087669363. The cubic root of 4532441368 is about 1654.9215003399.

The spelling of 4532441368 in words is "four billion, five hundred thirty-two million, four hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 151 182 302 364 604 728 1057 1208 1963 2114 3926 4228 7852 8456 13741 15704 27482 41231 54964 82462 109928 164924 288617 329848 536003 577234 1072006 1154468 2144012 2308936 3752021 4288024 6225881 7504042 12451762 15008084 24903524 30016168 43581167 49807048 80936453 87162334 161872906 174324668 323745812 348649336 566555171 647491624 1133110342 2266220684 4532441368