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18273312 = 253267947
BaseRepresentation
bin100010110110…
…1010000100000
31021101101021100
41011231100200
514134221222
61451354400
7311214651
oct105552040
937341240
1018273312
11a351012
126152a00
133a2a515
1425d9528
15190e4ac
hex116d420

18273312 has 72 divisors (see below), whose sum is σ = 52796016. Its totient is φ = 5993856.

The previous prime is 18273263. The next prime is 18273319. The reversal of 18273312 is 21337281.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (18273319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18823 + ... + 19769.

It is an arithmetic number, because the mean of its divisors is an integer number (733278).

Almost surely, 218273312 is an apocalyptic number.

18273312 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 18273312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26398008).

18273312 is an abundant number, since it is smaller than the sum of its proper divisors (34522704).

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

18273312 is a wasteful number, since it uses less digits than its factorization.

18273312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 18273312 is about 4274.7294651241. The cubic root of 18273312 is about 263.3939264862.

The spelling of 18273312 in words is "eighteen million, two hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 947 1072 1206 1608 1894 2144 2412 2841 3216 3788 4824 5682 6432 7576 8523 9648 11364 15152 17046 19296 22728 30304 34092 45456 63449 68184 90912 126898 136368 190347 253796 272736 380694 507592 571041 761388 1015184 1142082 1522776 2030368 2284164 3045552 4568328 6091104 9136656 18273312