Search a number
-
+
250596672 = 2631817211
BaseRepresentation
bin11101110111111…
…00110101000000
3122110112122000020
432323330311000
51003123043142
640511053440
76132015354
oct1673746500
9573478006
10250596672
11119500a97
126bb11280
133cbc1171
14253d3464
1517000cec
hexeefcd40

250596672 has 56 divisors (see below), whose sum is σ = 666792672. Its totient is φ = 83059200.

The previous prime is 250596641. The next prime is 250596691. The reversal of 250596672 is 276695052.

250596672 is digitally balanced in base 3, 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 7 ways as a sum of consecutive naturals, for example, 31147 + ... + 38357.

It is an arithmetic number, because the mean of its divisors is an integer number (11907012).

Almost surely, 2250596672 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 250596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333396336).

250596672 is an abundant number, since it is smaller than the sum of its proper divisors (416196000).

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

250596672 is a wasteful number, since it uses less digits than its factorization.

250596672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 250596672 is about 15830.2454813563. The cubic root of 250596672 is about 630.4612998358.

The spelling of 250596672 in words is "two hundred fifty million, five hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2896 4344 5792 7211 8688 11584 14422 17376 21633 28844 34752 43266 57688 86532 115376 173064 230752 346128 461504 692256 1305191 1384512 2610382 3915573 5220764 7831146 10441528 15662292 20883056 31324584 41766112 62649168 83532224 125298336 250596672