Search a number
-
+
250427520 = 2732576211
BaseRepresentation
bin11101110110100…
…11100010000000
3122110020000222100
432323103202000
51003102140040
640503310400
76130412250
oct1673234200
9573200870
10250427520
111193a59a2
126ba4b400
133cb62185
142538b960
1516ebab30
hexeed3880

250427520 has 192 divisors, whose sum is σ = 988453440. Its totient is φ = 57231360.

The previous prime is 250427497. The next prime is 250427531. The reversal of 250427520 is 25724052.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37215 + ... + 43425.

It is an arithmetic number, because the mean of its divisors is an integer number (5148195).

Almost surely, 2250427520 is an apocalyptic number.

250427520 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 250427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494226720).

250427520 is an abundant number, since it is smaller than the sum of its proper divisors (738025920).

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

250427520 is a wasteful number, since it uses less digits than its factorization.

250427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 250427520 is about 15824.9018954305. The cubic root of 250427520 is about 630.3194147465.

The spelling of 250427520 in words is "two hundred fifty million, four hundred twenty-seven thousand, five hundred twenty".