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206126648 = 23713594799
BaseRepresentation
bin11000100100100…
…11111000111000
3112100212022121022
430102103320320
5410232023043
632242002012
75052022220
oct1422237070
9470768538
10206126648
11a6398002
1259046308
1333920b40
141d539080
1513169868
hexc493e38

206126648 has 64 divisors (see below), whose sum is σ = 483840000. Its totient is φ = 80145792.

The previous prime is 206126647. The next prime is 206126653. The reversal of 206126648 is 846621602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206126647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40553 + ... + 45351.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000).

Almost surely, 2206126648 is an apocalyptic number.

206126648 is a gapful number since it is divisible by the number (28) 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 206126648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000).

206126648 is an abundant number, since it is smaller than the sum of its proper divisors (277713352).

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

206126648 is a wasteful number, since it uses less digits than its factorization.

206126648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 206126648 is about 14357.1114086365. Note that the first 3 decimals coincide. The cubic root of 206126648 is about 590.7150652122.

The spelling of 206126648 in words is "two hundred six million, one hundred twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 182 236 364 413 472 728 767 826 1534 1652 3068 3304 4799 5369 6136 9598 10738 19196 21476 33593 38392 42952 62387 67186 124774 134372 249548 268744 283141 436709 499096 566282 873418 1132564 1746836 1981987 2265128 3493672 3680833 3963974 7361666 7927948 14723332 15855896 25765831 29446664 51531662 103063324 206126648