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12287488 = 29103233
BaseRepresentation
bin101110110111…
…111000000000
3212010021021011
4232313320000
511121144423
61115210304
7206304403
oct56677000
925107234
1012287488
116a32854
124146994
132712b05
1418bbd3a
15112ab0d
hexbb7e00

12287488 has 40 divisors (see below), whose sum is σ = 24895728. Its totient is φ = 6057984.

The previous prime is 12287479. The next prime is 12287489. The reversal of 12287488 is 88478221.

12287488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122874882 = 301964722700288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12287488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52620 + ... + 52852.

Almost surely, 212287488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447864).

12287488 is an abundant number, since it is smaller than the sum of its proper divisors (12608240).

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

12287488 is an equidigital number, since it uses as much as digits as its factorization.

12287488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its digits is 57344, while the sum is 40.

The square root of 12287488 is about 3505.3513375980. The cubic root of 12287488 is about 230.7567262056.

The spelling of 12287488 in words is "twelve million, two hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 233 256 412 466 512 824 932 1648 1864 3296 3728 6592 7456 13184 14912 23999 26368 29824 47998 52736 59648 95996 119296 191992 383984 767968 1535936 3071872 6143744 12287488