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12283488 = 25347677
BaseRepresentation
bin101110110110…
…111001100000
3212010001210000
4232312321200
511121032423
61115140000
7206256630
oct56667140
925101700
1012283488
116a2a848
124144600
132711049
1418ba6c0
151129843
hexbb6e60

12283488 has 120 divisors (see below), whose sum is σ = 41347152. Its totient is φ = 3504384.

The previous prime is 12283459. The next prime is 12283489. The reversal of 12283488 is 88438221.

It is a happy number.

It is a super-2 number, since 2×122834882 = 301768154892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12283489) 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 19 ways as a sum of consecutive naturals, for example, 17806 + ... + 18482.

Almost surely, 212283488 is an apocalyptic number.

12283488 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 12283488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673576).

12283488 is an abundant number, since it is smaller than the sum of its proper divisors (29063664).

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

12283488 is an equidigital number, since it uses as much as digits as its factorization.

12283488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12283488 is about 3504.7807349391. The cubic root of 12283488 is about 230.7316837374.

The spelling of 12283488 in words is "twelve million, two hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 677 756 864 1008 1134 1296 1354 1512 2016 2031 2268 2592 2708 3024 4062 4536 4739 5416 6048 6093 8124 9072 9478 10832 12186 14217 16248 18144 18279 18956 21664 24372 28434 32496 36558 37912 42651 48744 54837 56868 64992 73116 75824 85302 97488 109674 113736 127953 146232 151648 170604 194976 219348 227472 255906 292464 341208 383859 438696 454944 511812 584928 682416 767718 877392 1023624 1364832 1535436 1754784 2047248 3070872 4094496 6141744 12283488