Search a number
-
+
5187157440 = 26357097621
BaseRepresentation
bin1001101010010110…
…11011110111000000
3111101111112220022020
410311023123313000
541110403014230
62214414441440
7242354052663
oct46513336700
914344486266
105187157440
112222019183
121009203280
1364886a53a
14372c9d6da
152055c5810
hex1352dbdc0

5187157440 has 112 divisors (see below), whose sum is σ = 16494617760. Its totient is φ = 1381109760.

The previous prime is 5187157427. The next prime is 5187157463. The reversal of 5187157440 is 447517815.

It is a hoax number, since the sum of its digits (42) 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 = 5187157392 and 5187157401.

It is a congruent number.

It is an unprimeable number.

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, 676830 + ... + 684450.

Almost surely, 25187157440 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 5187157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8247308880).

5187157440 is an abundant number, since it is smaller than the sum of its proper divisors (11307460320).

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

5187157440 is a wasteful number, since it uses less digits than its factorization.

5187157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 5187157440 is about 72021.9233289420. The cubic root of 5187157440 is about 1731.0507877839.

The spelling of 5187157440 in words is "five billion, one hundred eighty-seven million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 709 960 1418 2127 2836 3545 4254 5672 7090 7621 8508 10635 11344 14180 15242 17016 21270 22688 22863 28360 30484 34032 38105 42540 45376 45726 56720 60968 68064 76210 85080 91452 113440 114315 121936 136128 152420 170160 182904 226880 228630 243872 304840 340320 365808 457260 487744 609680 680640 731616 914520 1219360 1463232 1829040 2438720 3658080 5403289 7316160 10806578 16209867 21613156 27016445 32419734 43226312 54032890 64839468 81049335 86452624 108065780 129678936 162098670 172905248 216131560 259357872 324197340 345810496 432263120 518715744 648394680 864526240 1037431488 1296789360 1729052480 2593578720 5187157440