Search a number
-
+
2825008506 = 232805319489
BaseRepresentation
bin1010100001100010…
…0011010101111010
321021212202022010200
42220120203111322
521241200233011
61144153423030
7130002114255
oct25030432572
97255668120
102825008506
11121a709781
1266a10aa76
13360375288
141cb29409c
15118029856
hexa862357a

2825008506 has 24 divisors (see below), whose sum is σ = 6121925940. Its totient is φ = 941504256.

The previous prime is 2825008493. The next prime is 2825008513. The reversal of 2825008506 is 6058005282.

It can be written as a sum of positive squares in 2 ways, for example, as 2732675625 + 92332881 = 52275^2 + 9609^2 .

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, 135210 + ... + 154698.

Almost surely, 22825008506 is an apocalyptic number.

2825008506 is an abundant number, since it is smaller than the sum of its proper divisors (3296917434).

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

2825008506 is a wasteful number, since it uses less digits than its factorization.

2825008506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27550 (or 27547 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2825008506 is about 53150.8090813301. The cubic root of 2825008506 is about 1413.6435628743.

The spelling of 2825008506 in words is "two billion, eight hundred twenty-five million, eight thousand, five hundred six".

Divisors: 1 2 3 6 9 18 8053 16106 19489 24159 38978 48318 58467 72477 116934 144954 175401 350802 156944917 313889834 470834751 941669502 1412504253 2825008506