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5781090800 = 2452311273671
BaseRepresentation
bin1010110001001010…
…00111000111110000
3112220220010211201002
411120211013013300
543314424401200
62353352501132
7263155314062
oct53045070760
915826124632
105781090800
1124a73030a1
1211540aa7a8
137119209b4
143cbb07732
1523c7e5bd5
hex1589471f0

5781090800 has 120 divisors (see below), whose sum is σ = 14453932032. Its totient is φ = 2219616000.

The previous prime is 5781090793. The next prime is 5781090829. The reversal of 5781090800 is 80901875.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1572965 + ... + 1576635.

Almost surely, 25781090800 is an apocalyptic number.

5781090800 is a gapful number since it is divisible by the number (50) 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 5781090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7226966016).

5781090800 is an abundant number, since it is smaller than the sum of its proper divisors (8672841232).

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

5781090800 is a wasteful number, since it uses less digits than its factorization.

5781090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 5781090800 is about 76033.4847287693. The cubic root of 5781090800 is about 1794.7471135530.

The spelling of 5781090800 in words is "five billion, seven hundred eighty-one million, ninety thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 127 155 200 248 254 310 400 496 508 620 635 775 1016 1240 1270 1550 2032 2480 2540 3100 3175 3671 3937 5080 6200 6350 7342 7874 10160 12400 12700 14684 15748 18355 19685 25400 29368 31496 36710 39370 50800 58736 62992 73420 78740 91775 98425 113801 146840 157480 183550 196850 227602 293680 314960 367100 393700 455204 466217 569005 734200 787400 910408 932434 1138010 1468400 1574800 1820816 1864868 2276020 2331085 2845025 3729736 4552040 4662170 5690050 7459472 9104080 9324340 11380100 11655425 14452727 18648680 22760200 23310850 28905454 37297360 45520400 46621700 57810908 72263635 93243400 115621816 144527270 186486800 231243632 289054540 361318175 578109080 722636350 1156218160 1445272700 2890545400 5781090800