Search a number
-
+
206826048 = 2636111331
BaseRepresentation
bin11000101001111…
…10101001000000
3112102011212000000
430110332221000
5410421413143
632305000000
75060664252
oct1424765100
9472155000
10206826048
11a6825520
1259323000
1333b072a0
141d67bcd2
1513256bd3
hexc53ea40

206826048 has 392 divisors, whose sum is σ = 746247936. Its totient is φ = 55987200.

The previous prime is 206826043. The next prime is 206826049. The reversal of 206826048 is 840628602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (206826043) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6671793 + ... + 6671823.

Almost surely, 2206826048 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 206826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373123968).

206826048 is an abundant number, since it is smaller than the sum of its proper divisors (539421888).

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

206826048 is a wasteful number, since it uses less digits than its factorization.

206826048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206826048 is about 14381.4480494838. The cubic root of 206826048 is about 591.3824214597.

The spelling of 206826048 in words is "two hundred six million, eight hundred twenty-six thousand, forty-eight".