Search a number
-
+
5280808005 = 3251117627547
BaseRepresentation
bin1001110101100001…
…01011110001000101
3111122000202211201200
410322300223301011
541303341324010
62232002013113
7244602061464
oct47260536105
914560684650
105280808005
11226a973240
121034647199
13662099c85
143814ba9db
1520d923cc0
hex13ac2bc45

5280808005 has 48 divisors (see below), whose sum is σ = 10572928704. Its totient is φ = 2409776640.

The previous prime is 5280807989. The next prime is 5280808021. The reversal of 5280808005 is 5008080825.

5280808005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5280807989) and next prime (5280808021).

It is not a de Polignac number, because 5280808005 - 24 = 5280807989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305359 + ... + 322188.

It is an arithmetic number, because the mean of its divisors is an integer number (220269348).

Almost surely, 25280808005 is an apocalyptic number.

5280808005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5280808005 is an abundant number, since it is smaller than the sum of its proper divisors (5292120699).

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

5280808005 is a wasteful number, since it uses less digits than its factorization.

5280808005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627586 (or 627583 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5280808005 is about 72669.1681870654. The cubic root of 5280808005 is about 1741.4063590373.

The spelling of 5280808005 in words is "five billion, two hundred eighty million, eight hundred eight thousand, five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 627547 1882641 3137735 5647923 6903017 9413205 10668299 20709051 28239615 32004897 34515085 53341495 62127153 96014691 103545255 117351289 160024485 310635765 352053867 480073455 586756445 1056161601 1760269335 5280808005