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12282408 = 2333101563
BaseRepresentation
bin101110110110…
…101000101000
3212010000022000
4232312220220
511121014113
61115131000
7206253525
oct56665050
925100260
1012282408
116a29a56
124143a60
1327106c8
1418ba14c
151129373
hexbb6a28

12282408 has 64 divisors (see below), whose sum is σ = 34516800. Its totient is φ = 4046400.

The previous prime is 12282401. The next prime is 12282419. The reversal of 12282408 is 80428221.

12282408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12282401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21535 + ... + 22097.

It is an arithmetic number, because the mean of its divisors is an integer number (539325).

Almost surely, 212282408 is an apocalyptic number.

12282408 is a gapful number since it is divisible by the number (18) 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 12282408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258400).

12282408 is an abundant number, since it is smaller than the sum of its proper divisors (22234392).

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

12282408 is a wasteful number, since it uses less digits than its factorization.

12282408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12282408 is about 3504.6266562931. The cubic root of 12282408 is about 230.7249213390.

The spelling of 12282408 in words is "twelve million, two hundred eighty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 563 606 808 909 1126 1212 1689 1818 2252 2424 2727 3378 3636 4504 5067 5454 6756 7272 10134 10908 13512 15201 20268 21816 30402 40536 56863 60804 113726 121608 170589 227452 341178 454904 511767 682356 1023534 1364712 1535301 2047068 3070602 4094136 6141204 12282408