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2825729505 = 32562793989
BaseRepresentation
bin1010100001101101…
…0011010111100001
321021221002221011100
42220123103113201
521241341321010
61144221105013
7130011206304
oct25033232741
97257087140
102825729505
111220061445
1266a3b8169
133605684c1
141cb400b3b
1511811d2c0
hexa86d35e1

2825729505 has 12 divisors (see below), whose sum is σ = 4897931220. Its totient is φ = 1507055712.

The previous prime is 2825729483. The next prime is 2825729573. The reversal of 2825729505 is 5059275282.

2825729505 is a `hidden beast` number, since 28 + 2 + 572 + 9 + 50 + 5 = 666.

2825729505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 859427856 + 1966301649 = 29316^2 + 44343^2 .

It is not a de Polignac number, because 2825729505 - 29 = 2825728993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 62793989 = 2825729505 / (2 + 8 + 2 + 5 + 7 + 2 + 9 + 5 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31396950 + ... + 31397039.

It is an arithmetic number, because the mean of its divisors is an integer number (408160935).

Almost surely, 22825729505 is an apocalyptic number.

It is an amenable number.

2825729505 is a deficient number, since it is larger than the sum of its proper divisors (2072201715).

2825729505 is a wasteful number, since it uses less digits than its factorization.

2825729505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62794000 (or 62793997 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2825729505 is about 53157.5912264655. The cubic root of 2825729505 is about 1413.7638160695.

The spelling of 2825729505 in words is "two billion, eight hundred twenty-five million, seven hundred twenty-nine thousand, five hundred five".

Divisors: 1 3 5 9 15 45 62793989 188381967 313969945 565145901 941909835 2825729505