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18285312 = 28329821
BaseRepresentation
bin100010111000…
…0001100000000
31021101222201210
41011300030000
514140112222
61451530120
7311264643
oct105601400
937358653
1018285312
11a35a031
126159940
133a32b16
1425dda5a
151912d0c
hex1170300

18285312 has 72 divisors (see below), whose sum is σ = 50405040. Its totient is φ = 5877760.

The previous prime is 18285307. The next prime is 18285313. The reversal of 18285312 is 21358281.

It is a self number, because there is not a number n which added to its sum of digits gives 18285312.

It is not an unprimeable number, because it can be changed into a prime (18285313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21862 + ... + 22682.

It is an arithmetic number, because the mean of its divisors is an integer number (700070).

Almost surely, 218285312 is an apocalyptic number.

18285312 is a gapful number since it is divisible by the number (12) 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 18285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25202520).

18285312 is an abundant number, since it is smaller than the sum of its proper divisors (32119728).

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

18285312 is an equidigital number, since it uses as much as digits as its factorization.

18285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 18285312 is about 4276.1328323615. The cubic root of 18285312 is about 263.4515703968.

It can be divided in two parts, 1828 and 5312, that added together give a triangular number (7140 = T119).

The spelling of 18285312 in words is "eighteen million, two hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 821 928 1392 1642 1856 2463 2784 3284 3712 4926 5568 6568 7424 9852 11136 13136 19704 22272 23809 26272 39408 47618 52544 71427 78816 95236 105088 142854 157632 190472 210176 285708 315264 380944 571416 630528 761888 1142832 1523776 2285664 3047552 4571328 6095104 9142656 18285312