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12428550 = 2325271389
BaseRepresentation
bin101111011010…
…010100000110
3212101102202200
4233122110012
511140203200
61122215330
7210432561
oct57322406
925342680
1012428550
117019832
1241b4546
132762094
1419174d8
151157800
hexbda506

12428550 has 72 divisors (see below), whose sum is σ = 33948720. Its totient is φ = 3259200.

The previous prime is 12428543. The next prime is 12428557. The reversal of 12428550 is 5582421.

It is a happy number.

12428550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12428543) and next prime (12428557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31756 + ... + 32144.

It is an arithmetic number, because the mean of its divisors is an integer number (471510).

Almost surely, 212428550 is an apocalyptic number.

12428550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12428550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974360).

12428550 is an abundant number, since it is smaller than the sum of its proper divisors (21520170).

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

12428550 is a wasteful number, since it uses less digits than its factorization.

12428550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 12428550 is about 3525.4148692033. The cubic root of 12428550 is about 231.6364077819.

The spelling of 12428550 in words is "twelve million, four hundred twenty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 389 426 450 639 710 778 1065 1167 1278 1775 1945 2130 2334 3195 3501 3550 3890 5325 5835 6390 7002 9725 10650 11670 15975 17505 19450 27619 29175 31950 35010 55238 58350 82857 87525 138095 165714 175050 248571 276190 414285 497142 690475 828570 1242855 1380950 2071425 2485710 4142850 6214275 12428550