Search a number
-
+
250528000 = 28537829
BaseRepresentation
bin11101110111011…
…00000100000000
3122110102010210211
432323230010000
51003113344000
640505403504
76131311222
oct1673540400
9573363724
10250528000
11119464438
126ba99594
133cb98b28
14253b6412
1516eda7ba
hexeeec100

250528000 has 72 divisors (see below), whose sum is σ = 624176280. Its totient is φ = 100198400.

The previous prime is 250527971. The next prime is 250528009. The reversal of 250528000 is 825052.

It can be written as a sum of positive squares in 4 ways, for example, as 41783296 + 208744704 = 6464^2 + 14448^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (250528009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28086 + ... + 35914.

It is an arithmetic number, because the mean of its divisors is an integer number (8669115).

Almost surely, 2250528000 is an apocalyptic number.

250528000 is a gapful number since it is divisible by the number (20) 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 250528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312088140).

250528000 is an abundant number, since it is smaller than the sum of its proper divisors (373648280).

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

250528000 is an frugal number, since it uses more digits than its factorization.

250528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 250528000 is about 15828.0763202608. The cubic root of 250528000 is about 630.4037053043.

The spelling of 250528000 in words is "two hundred fifty million, five hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 7829 8000 15658 16000 31316 32000 39145 62632 78290 125264 156580 195725 250528 313160 391450 501056 626320 782900 978625 1002112 1252640 1565800 1957250 2004224 2505280 3131600 3914500 5010560 6263200 7829000 10021120 12526400 15658000 25052800 31316000 50105600 62632000 125264000 250528000