Search a number
-
+
82053881 = 7213128813
BaseRepresentation
bin1001110010000…
…00101011111001
312201101202202122
410321000223321
5132001211011
612050411025
72014306100
oct471005371
9181352678
1082053881
1142354328
1223590a75
1313ccc1c0
14ac7d037
15730c3db
hex4e40af9

82053881 has 12 divisors (see below), whose sum is σ = 102793572. Its totient is φ = 64921248.

The previous prime is 82053871. The next prime is 82053899. The reversal of 82053881 is 18835028.

It can be written as a sum of positive squares in 2 ways, for example, as 7075600 + 74978281 = 2660^2 + 8659^2 .

It is not a de Polignac number, because 82053881 - 210 = 82052857 is a prime.

It is a super-2 number, since 2×820538812 = 13465678774324322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82053841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63770 + ... + 65043.

It is an arithmetic number, because the mean of its divisors is an integer number (8566131).

Almost surely, 282053881 is an apocalyptic number.

It is an amenable number.

82053881 is a deficient number, since it is larger than the sum of its proper divisors (20739691).

82053881 is a wasteful number, since it uses less digits than its factorization.

82053881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128840 (or 128833 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 82053881 is about 9058.3597301057. The cubic root of 82053881 is about 434.5432842494.

The spelling of 82053881 in words is "eighty-two million, fifty-three thousand, eight hundred eighty-one".

Divisors: 1 7 13 49 91 637 128813 901691 1674569 6311837 11721983 82053881