Search a number
-
+
4538481696 = 253273077333
BaseRepresentation
bin1000011101000001…
…11011110000100000
3102201021221202110200
410032200323300200
533243322403241
62030203225200
7220316313030
oct41640736040
912637852420
104538481696
111a19944521
12a67b18200
1357435b238
14310a858c0
151b86904b6
hex10e83bc20

4538481696 has 144 divisors (see below), whose sum is σ = 14800129344. Its totient is φ = 1292308992.

The previous prime is 4538481691. The next prime is 4538481697. The reversal of 4538481696 is 6961848354.

4538481696 is a `hidden beast` number, since 4 + 538 + 4 + 8 + 16 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45384816962 = 41195632209854072832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4538481691) 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, 615246 + ... + 622578.

It is an arithmetic number, because the mean of its divisors is an integer number (102778676).

Almost surely, 24538481696 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 4538481696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400064672).

4538481696 is an abundant number, since it is smaller than the sum of its proper divisors (10261647648).

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

4538481696 is a wasteful number, since it uses less digits than its factorization.

4538481696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7652 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4538481696 is about 67368.2543636096. The cubic root of 4538481696 is about 1655.6563384044.

The spelling of 4538481696 in words is "four billion, five hundred thirty-eight million, four hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 307 336 504 614 672 921 1008 1228 1842 2016 2149 2456 2763 3684 4298 4912 5526 6447 7333 7368 8596 9824 11052 12894 14666 14736 17192 19341 21999 22104 25788 29332 29472 34384 38682 43998 44208 51331 51576 58664 65997 68768 77364 87996 88416 102662 103152 117328 131994 153993 154728 175992 205324 206304 234656 263988 307986 309456 351984 410648 461979 527976 615972 618912 703968 821296 923958 1055952 1231944 1642592 1847916 2111904 2251231 2463888 3695832 4502462 4927776 6753693 7391664 9004924 13507386 14783328 15758617 18009848 20261079 27014772 31517234 36019696 40522158 47275851 54029544 63034468 72039392 81044316 94551702 108059088 126068936 141827553 162088632 189103404 216118176 252137872 283655106 324177264 378206808 504275744 567310212 648354528 756413616 1134620424 1512827232 2269240848 4538481696