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206020048 = 24133189359
BaseRepresentation
bin11000100011110…
…01110111010000
3112100122220101011
430101321313100
5410220120143
632235420304
75051066353
oct1421716720
9470586334
10206020048
11a6324a03
1258bb4694
13338b4470
141d50c29a
1513147e9d
hexc479dd0

206020048 has 80 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 90731520.

The previous prime is 206020037. The next prime is 206020057. The reversal of 206020048 is 840020602.

206020048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573693 + ... + 574051.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2206020048 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 206020048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

206020048 is an abundant number, since it is smaller than the sum of its proper divisors (243951152).

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

206020048 is a wasteful number, since it uses less digits than its factorization.

206020048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 206020048 is about 14353.3984825894. The cubic root of 206020048 is about 590.6132166887.

The spelling of 206020048 in words is "two hundred six million, twenty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 89 104 124 178 208 248 356 359 403 496 712 718 806 1157 1424 1436 1612 2314 2759 2872 3224 4628 4667 5518 5744 6448 9256 9334 11036 11129 18512 18668 22072 22258 31951 35867 37336 44144 44516 63902 71734 74672 89032 127804 143468 144677 178064 255608 286936 289354 415363 511216 573872 578708 830726 990481 1157416 1661452 1980962 2314832 3322904 3961924 6645808 7923848 12876253 15847696 25752506 51505012 103010024 206020048