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12255488 = 2872977
BaseRepresentation
bin101110110000…
…000100000000
3212001122100222
4232300010000
511114133423
61114402212
7206112200
oct56600400
925048328
1012255488
116a10803
124130368
13270138b
1418b0400
1511213c8
hexbb0100

12255488 has 54 divisors (see below), whose sum is σ = 28486206. Its totient is φ = 5246976.

The previous prime is 12255479. The next prime is 12255499. The reversal of 12255488 is 88455221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12054784 + 200704 = 3472^2 + 448^2 .

It is a super-2 number, since 2×122554882 = 300393972236288, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12056 + ... + 13032.

Almost surely, 212255488 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 12255488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243103).

12255488 is an abundant number, since it is smaller than the sum of its proper divisors (16230718).

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

12255488 is an frugal number, since it uses more digits than its factorization.

12255488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 986 counting only the distinct ones).

The product of its digits is 25600, while the sum is 35.

The square root of 12255488 is about 3500.7839122117. The cubic root of 12255488 is about 230.5562340544.

The spelling of 12255488 in words is "twelve million, two hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 977 1568 1792 1954 3136 3908 6272 6839 7816 12544 13678 15632 27356 31264 47873 54712 62528 95746 109424 125056 191492 218848 250112 382984 437696 765968 875392 1531936 1750784 3063872 6127744 12255488