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18675828 = 22324112653
BaseRepresentation
bin100011100111…
…1100001110100
31022010211102100
41013033201310
514240111303
61504142100
7314512323
oct107174164
938124370
1018675828
11a5a6476
126307930
133b3b7b2
1426a20ba
15198d8a3
hex11cf874

18675828 has 36 divisors (see below), whose sum is σ = 48363588. Its totient is φ = 6072960.

The previous prime is 18675827. The next prime is 18675829. The reversal of 18675828 is 82857681.

18675828 is a `hidden beast` number, since 1 + 8 + 67 + 582 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (18675827) and next prime (18675829).

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 18301284 = 612^2 + 4278^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18675827) 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, 4851 + ... + 7802.

It is an arithmetic number, because the mean of its divisors is an integer number (1343433).

Almost surely, 218675828 is an apocalyptic number.

18675828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18675828 is an abundant number, since it is smaller than the sum of its proper divisors (29687760).

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

18675828 is a wasteful number, since it uses less digits than its factorization.

18675828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12704 (or 12699 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 18675828 is about 4321.5538872031. The cubic root of 18675828 is about 265.3138704162.

It can be divided in two parts, 18675 and 828, that added together give a triangular number (19503 = T197).

The spelling of 18675828 in words is "eighteen million, six hundred seventy-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 12653 25306 37959 50612 75918 113877 151836 227754 455508 518773 1037546 1556319 2075092 3112638 4668957 6225276 9337914 18675828