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18882253 = 1373101197
BaseRepresentation
bin100100000000…
…1111011001101
31022112022120201
41020001323031
514313213003
61512413501
7316332205
oct110017315
938468521
1018882253
11a727575
1263a7291
133bb1740
142717405
1519ceb1d
hex1201ecd

18882253 has 16 divisors (see below), whose sum is σ = 20923056. Its totient is φ = 16934400.

The previous prime is 18882221. The next prime is 18882293. The reversal of 18882253 is 35228881.

It can be written as a sum of positive squares in 8 ways, for example, as 3617604 + 15264649 = 1902^2 + 3907^2 .

It is a cyclic number.

It is not a de Polignac number, because 18882253 - 25 = 18882221 is a prime.

It is a Duffinian number.

Its product of digits (30720) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18882293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95751 + ... + 95947.

It is an arithmetic number, because the mean of its divisors is an integer number (1307691).

Almost surely, 218882253 is an apocalyptic number.

18882253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

18882253 is a deficient number, since it is larger than the sum of its proper divisors (2040803).

18882253 is a wasteful number, since it uses less digits than its factorization.

18882253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its digits is 30720, while the sum is 37.

The square root of 18882253 is about 4345.3714455729. The cubic root of 18882253 is about 266.2878006974.

The spelling of 18882253 in words is "eighteen million, eight hundred eighty-two thousand, two hundred fifty-three".

Divisors: 1 13 73 101 197 949 1313 2561 7373 14381 19897 95849 186953 258661 1452481 18882253