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12248628 = 2237237563
BaseRepresentation
bin101110101110…
…011000110100
3212001021221220
4232232120310
511113424003
61114310340
7206053200
oct56563064
925037856
1012248628
116a06637
1241283b0
1326cb212
1418abb00
15111e353
hexbae634

12248628 has 72 divisors (see below), whose sum is σ = 34205472. Its totient is φ = 3398976.

The previous prime is 12248609. The next prime is 12248633. The reversal of 12248628 is 82684221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21475 + ... + 22037.

It is an arithmetic number, because the mean of its divisors is an integer number (475076).

Almost surely, 212248628 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 12248628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102736).

12248628 is an abundant number, since it is smaller than the sum of its proper divisors (21956844).

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

12248628 is a wasteful number, since it uses less digits than its factorization.

12248628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 12248628 is about 3499.8039945117. The cubic root of 12248628 is about 230.5132081339.

The spelling of 12248628 in words is "twelve million, two hundred forty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 563 588 777 1036 1126 1554 1689 1813 2252 3108 3378 3626 3941 5439 6756 7252 7882 10878 11823 15764 20831 21756 23646 27587 41662 47292 55174 62493 82761 83324 110348 124986 145817 165522 249972 291634 331044 437451 583268 874902 1020719 1749804 2041438 3062157 4082876 6124314 12248628