Search a number
-
+
5824041804 = 2233721957923
BaseRepresentation
bin1010110110010001…
…11101001101001100
3120000212221222102000
411123020331031030
543411423314204
62401525232300
7264216352500
oct53310751514
916025858360
105824041804
112519579899
121166562690
1371a7ab7a9
143d36c8300
1524147c039
hex15b23d34c

5824041804 has 144 divisors (see below), whose sum is σ = 18489340800. Its totient is φ = 1576405152.

The previous prime is 5824041803. The next prime is 5824041829. The reversal of 5824041804 is 4081404285.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5824041803) 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 47 ways as a sum of consecutive naturals, for example, 71587 + ... + 129509.

It is an arithmetic number, because the mean of its divisors is an integer number (128398200).

Almost surely, 25824041804 is an apocalyptic number.

5824041804 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 5824041804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9244670400).

5824041804 is an abundant number, since it is smaller than the sum of its proper divisors (12665298996).

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

5824041804 is a wasteful number, since it uses less digits than its factorization.

5824041804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57969 (or 57954 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5824041804 is about 76315.4100034849. The cubic root of 5824041804 is about 1799.1808828605.

The spelling of 5824041804 in words is "five billion, eight hundred twenty-four million, forty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1596 1764 1862 2052 2394 2646 2793 3591 3724 4788 5292 5586 7182 8379 11172 14364 16758 25137 33516 50274 57923 100548 115846 173769 231692 347538 405461 521307 695076 810922 1042614 1100537 1216383 1563921 1621844 2085228 2201074 2432766 2838227 3127842 3301611 3649149 4402148 4865532 5676454 6255684 6603222 7298298 7703759 8514681 9904833 10947447 11352908 13206444 14596596 15407518 17029362 19809666 21894894 23111277 25544043 29714499 30815036 34058724 39619332 43789788 46222554 51088086 53926313 59428998 69333831 76632129 92445108 102176172 107852626 118857996 138667662 153264258 161778939 208001493 215705252 277335324 306528516 323557878 416002986 485336817 647115756 832005972 970673634 1456010451 1941347268 2912020902 5824041804