Search a number
-
+
206379048 = 233173591409
BaseRepresentation
bin11000100110100…
…01100000101000
3112101100010211110
430103101200220
5410313112143
632251230320
75054123121
oct1423214050
9471303743
10206379048
11a654a6a7
12591483a0
13339ab9a5
141d5a3048
15131b9533
hexc4d1828

206379048 has 64 divisors (see below), whose sum is σ = 548208000. Its totient is φ = 64520192.

The previous prime is 206379029. The next prime is 206379049. The reversal of 206379048 is 840973602.

It is a super-2 number, since 2×2063790482 = 85184622906772608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206378997 and 206379015.

It is not an unprimeable number, because it can be changed into a prime (206379049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145768 + ... + 147176.

It is an arithmetic number, because the mean of its divisors is an integer number (8565750).

Almost surely, 2206379048 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 206379048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274104000).

206379048 is an abundant number, since it is smaller than the sum of its proper divisors (341828952).

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

206379048 is a wasteful number, since it uses less digits than its factorization.

206379048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 206379048 is about 14365.8987884504. The cubic root of 206379048 is about 590.9560750792.

The spelling of 206379048 in words is "two hundred six million, three hundred seventy-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 359 408 718 1077 1409 1436 2154 2818 2872 4227 4308 5636 6103 8454 8616 11272 12206 16908 18309 23953 24412 33816 36618 47906 48824 71859 73236 95812 143718 146472 191624 287436 505831 574872 1011662 1517493 2023324 3034986 4046648 6069972 8599127 12139944 17198254 25797381 34396508 51594762 68793016 103189524 206379048