Search a number
-
+
5182654540 = 22574107927
BaseRepresentation
bin1001101001110100…
…10000100001001100
3111101012002010111011
410310322100201030
541103224421130
62214134135004
7242300560000
oct46472204114
914335063434
105182654540
11221a523078
1210077b1464
13647951abb
1437244a700
15204ed652a
hex134e9084c

5182654540 has 60 divisors (see below), whose sum is σ = 12696865776. Its totient is φ = 1776893664.

The previous prime is 5182654531. The next prime is 5182654559. The reversal of 5182654540 is 454562815.

It is a super-2 number, since 2×51826545402 = 53719816161965223200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5182654493 and 5182654502.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5944 + ... + 101983.

Almost surely, 25182654540 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 5182654540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348432888).

5182654540 is an abundant number, since it is smaller than the sum of its proper divisors (7514211236).

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

5182654540 is a wasteful number, since it uses less digits than its factorization.

5182654540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107964 (or 107941 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The square root of 5182654540 is about 71990.6559214458. The cubic root of 5182654540 is about 1730.5497423157.

The spelling of 5182654540 in words is "five billion, one hundred eighty-two million, six hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 48020 107927 215854 431708 539635 755489 1079270 1510978 2158540 3021956 3777445 5288423 7554890 10576846 15109780 21153692 26442115 37018961 52884230 74037922 105768460 148075844 185094805 259132727 370189610 518265454 740379220 1036530908 1295663635 2591327270 5182654540