Search a number
-
+
5183478456 = 2331369124043
BaseRepresentation
bin1001101001111010…
…11001101010111000
3111101020121222200120
410310331121222320
541103432302311
62214203533240
7242310561042
oct46475315270
914336558616
105183478456
11221aa360a2
121007b2a220
13647b7cb20
143725c2a92
152050ea706
hex134f59ab8

5183478456 has 64 divisors (see below), whose sum is σ = 13976296320. Its totient is φ = 1592542080.

The previous prime is 5183478451. The next prime is 5183478463. The reversal of 5183478456 is 6548743815.

It is a super-2 number, since 2×51834784562 = 53736897807632287872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5183478399 and 5183478408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5183478451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203571 + ... + 227613.

It is an arithmetic number, because the mean of its divisors is an integer number (218379630).

Almost surely, 25183478456 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 5183478456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988148160).

5183478456 is an abundant number, since it is smaller than the sum of its proper divisors (8792817864).

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

5183478456 is a wasteful number, since it uses less digits than its factorization.

5183478456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24756 (or 24752 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 5183478456 is about 71996.3780755671. The cubic root of 5183478456 is about 1730.6414425605.

The spelling of 5183478456 in words is "five billion, one hundred eighty-three million, four hundred seventy-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 691 1382 2073 2764 4146 5528 8292 8983 16584 17966 24043 26949 35932 48086 53898 71864 72129 96172 107796 144258 192344 215592 288516 312559 577032 625118 937677 1250236 1875354 2500472 3750708 7501416 16613713 33227426 49841139 66454852 99682278 132909704 199364556 215978269 398729112 431956538 647934807 863913076 1295869614 1727826152 2591739228 5183478456