Search a number
-
+
5148812540 = 2252954716229
BaseRepresentation
bin1001100101110010…
…01010010011111100
3111021211101202222202
410302321022103330
541021044000130
62210524531032
7241410120164
oct46271122374
914254352882
105148812540
112202409083
12bb83b0a78
13640933151
1436bb5b5a4
1520204e145
hex132e4a4fc

5148812540 has 48 divisors (see below), whose sum is σ = 11206490400. Its totient is φ = 1984749312.

The previous prime is 5148812533. The next prime is 5148812549. The reversal of 5148812540 is 452188415.

It is a super-2 number, since 2×51488125402 = 53020541144122503200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5148812494 and 5148812503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148812549) 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 15 ways as a sum of consecutive naturals, for example, 309146 + ... + 325374.

It is an arithmetic number, because the mean of its divisors is an integer number (233468550).

Almost surely, 25148812540 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 5148812540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603245200).

5148812540 is an abundant number, since it is smaller than the sum of its proper divisors (6057677860).

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

5148812540 is a wasteful number, since it uses less digits than its factorization.

5148812540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16814 (or 16812 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 38.

The square root of 5148812540 is about 71755.2265692193. The cubic root of 5148812540 is about 1726.7747654397.

The spelling of 5148812540 in words is "five billion, one hundred forty-eight million, eight hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 547 580 1094 2188 2735 5470 10940 15863 16229 31726 32458 63452 64916 79315 81145 158630 162290 317260 324580 470641 941282 1882564 2353205 4706410 8877263 9412820 17754526 35509052 44386315 88772630 177545260 257440627 514881254 1029762508 1287203135 2574406270 5148812540