Search a number
-
+
5430799764 = 22331337104543
BaseRepresentation
bin1010000111011001…
…10110110110010100
3112000111000012202000
411003230312312110
542110241043024
62254520515300
7251403015315
oct50354666624
915014005660
105430799764
1123375aa275
12107691bb30
136871951b0
143973a260c
1521bba0cc9
hex143b36d94

5430799764 has 96 divisors (see below), whose sum is σ = 15572874240. Its totient is φ = 1625837184.

The previous prime is 5430799763. The next prime is 5430799769. The reversal of 5430799764 is 4679970345.

It is a happy number.

5430799764 is a `hidden beast` number, since 543 + 0 + 7 + 9 + 97 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5430799764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430799763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324 + ... + 104219.

It is an arithmetic number, because the mean of its divisors is an integer number (162217440).

Almost surely, 25430799764 is an apocalyptic number.

5430799764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5430799764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786437120).

5430799764 is an abundant number, since it is smaller than the sum of its proper divisors (10142074476).

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

5430799764 is a wasteful number, since it uses less digits than its factorization.

5430799764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104606 (or 104598 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 5430799764 is about 73693.9601595680. The cubic root of 5430799764 is about 1757.7398419902.

The spelling of 5430799764 in words is "five billion, four hundred thirty million, seven hundred ninety-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1332 1404 1443 1924 1998 2886 3996 4329 5772 8658 12987 17316 25974 51948 104543 209086 313629 418172 627258 940887 1254516 1359059 1881774 2718118 2822661 3763548 3868091 4077177 5436236 5645322 7736182 8154354 11290644 11604273 12231531 15472364 16308708 23208546 24463062 34812819 36694593 46417092 48926124 50285183 69625638 73389186 100570366 104438457 139251276 146778372 150855549 201140732 208876914 301711098 417753828 452566647 603422196 905133294 1357699941 1810266588 2715399882 5430799764