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12482496 = 2632131667
BaseRepresentation
bin101111100111…
…011111000000
3212111011202200
4233213133000
511143414441
61123313200
7211046055
oct57473700
925434680
1012482496
117056314
12421b800
1327807c0
14192d02c
1511687b6
hexbe77c0

12482496 has 84 divisors (see below), whose sum is σ = 38554152. Its totient is φ = 3838464.

The previous prime is 12482473. The next prime is 12482501. The reversal of 12482496 is 69428421.

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 self number, because there is not a number n which added to its sum of digits gives 12482496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6655 + ... + 8321.

It is an arithmetic number, because the mean of its divisors is an integer number (458978).

Almost surely, 212482496 is an apocalyptic number.

12482496 is a gapful number since it is divisible by the number (16) 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 12482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19277076).

12482496 is an abundant number, since it is smaller than the sum of its proper divisors (26071656).

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

12482496 is a wasteful number, since it uses less digits than its factorization.

12482496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1685 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12482496 is about 3533.0575993040. The cubic root of 12482496 is about 231.9710625818.

The spelling of 12482496 in words is "twelve million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1667 1872 2496 3334 3744 5001 6668 7488 10002 13336 15003 20004 21671 26672 30006 40008 43342 53344 60012 65013 80016 86684 106688 120024 130026 160032 173368 195039 240048 260052 320064 346736 390078 480096 520104 693472 780156 960192 1040208 1386944 1560312 2080416 3120624 4160832 6241248 12482496