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12485808 = 2432312797
BaseRepresentation
bin101111101000…
…010010110000
3212111100022100
4233220102300
511144021213
61123340400
7211061526
oct57502260
925440270
1012485808
117058855
124221700
13278216a
141930316
151169773
hexbe84b0

12485808 has 60 divisors (see below), whose sum is σ = 36083008. Its totient is φ = 4026240.

The previous prime is 12485801. The next prime is 12485813. The reversal of 12485808 is 80858421.

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

It is not an unprimeable number, because it can be changed into a prime (12485801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3066 + ... + 5862.

Almost surely, 212485808 is an apocalyptic number.

12485808 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 12485808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18041504).

12485808 is an abundant number, since it is smaller than the sum of its proper divisors (23597200).

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

12485808 is a wasteful number, since it uses less digits than its factorization.

12485808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12485808 is about 3533.5262840398. The cubic root of 12485808 is about 231.9915771813.

It can be divided in two parts, 1248 and 5808, that added together give a square (7056 = 842).

The spelling of 12485808 in words is "twelve million, four hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2797 4464 5594 8391 11188 16782 22376 25173 33564 44752 50346 67128 86707 100692 134256 173414 201384 260121 346828 402768 520242 693656 780363 1040484 1387312 1560726 2080968 3121452 4161936 6242904 12485808