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18449144 = 237734513
BaseRepresentation
bin100011001100…
…0001011111000
31021201022110122
41012120023320
514210333034
61455232412
7312546410
oct106301370
937638418
1018449144
11a46112a
126218708
133a8c56c
142643640
15194662e
hex11982f8

18449144 has 32 divisors (see below), whose sum is σ = 40084320. Its totient is φ = 7796736.

The previous prime is 18449143. The next prime is 18449147. The reversal of 18449144 is 44194481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18449143) 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 7 ways as a sum of consecutive naturals, for example, 1832 + ... + 6344.

It is an arithmetic number, because the mean of its divisors is an integer number (1252635).

Almost surely, 218449144 is an apocalyptic number.

18449144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18449144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042160).

18449144 is an abundant number, since it is smaller than the sum of its proper divisors (21635176).

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

18449144 is a wasteful number, since it uses less digits than its factorization.

18449144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4595 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 18449144 is about 4295.2466751049. The cubic root of 18449144 is about 264.2360530293.

The spelling of 18449144 in words is "eighteen million, four hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 4513 9026 18052 31591 36104 63182 126364 252728 329449 658898 1317796 2306143 2635592 4612286 9224572 18449144