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18785144 = 237335449
BaseRepresentation
bin100011110101…
…0001101111000
31022100101101002
41013222031320
514302111034
61510344132
7315446120
oct107521570
938311332
1018785144
11a670614
12635b048
133b79491
1426cdc80
1519b0e7e
hex11ea378

18785144 has 16 divisors (see below), whose sum is σ = 40254000. Its totient is φ = 8050752.

The previous prime is 18785113. The next prime is 18785147. The reversal of 18785144 is 44158781.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18785098 and 18785107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18785147) 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 3 ways as a sum of consecutive naturals, for example, 167669 + ... + 167780.

It is an arithmetic number, because the mean of its divisors is an integer number (2515875).

Almost surely, 218785144 is an apocalyptic number.

18785144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18785144 is an abundant number, since it is smaller than the sum of its proper divisors (21468856).

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

18785144 is a wasteful number, since it uses less digits than its factorization.

18785144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335462 (or 335458 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 18785144 is about 4334.1831987123. The cubic root of 18785144 is about 265.8305212461.

The spelling of 18785144 in words is "eighteen million, seven hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 335449 670898 1341796 2348143 2683592 4696286 9392572 18785144