Search a number
-
+
2826806040 = 23345872471
BaseRepresentation
bin1010100001111101…
…1010001100011000
321022000010121220000
42220133122030120
521242130243130
61144300133000
7130023312012
oct25037321430
97260117800
102826806040
111220727243
1266a837160
133608544c6
141cb6011b2
15118282260
hexa87da318

2826806040 has 80 divisors (see below), whose sum is σ = 9501220080. Its totient is φ = 753814080.

The previous prime is 2826806033. The next prime is 2826806041. The reversal of 2826806040 is 406086282.

2826806040 is a `hidden beast` number, since 28 + 26 + 8 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2826805986 and 2826806004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826806041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 432996 + ... + 439475.

It is an arithmetic number, because the mean of its divisors is an integer number (118765251).

Almost surely, 22826806040 is an apocalyptic number.

2826806040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2826806040 is an abundant number, since it is smaller than the sum of its proper divisors (6674414040).

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

2826806040 is a wasteful number, since it uses less digits than its factorization.

2826806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872494 (or 872481 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2826806040 is about 53167.7161442919. The cubic root of 2826806040 is about 1413.9433299485.

The spelling of 2826806040 in words is "two billion, eight hundred twenty-six million, eight hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 872471 1744942 2617413 3489884 4362355 5234826 6979768 7852239 8724710 10469652 13087065 15704478 17449420 20939304 23556717 26174130 31408956 34898840 39261195 47113434 52348260 62817912 70670151 78522390 94226868 104696520 117783585 141340302 157044780 188453736 235567170 282680604 314089560 353350755 471134340 565361208 706701510 942268680 1413403020 2826806040