Search a number
-
+
250946820 = 223251394149
BaseRepresentation
bin11101111010100…
…10010100000100
3122111012102022200
432331102110010
51003220244240
640522354500
76135004245
oct1675222404
9574172280
10250946820
11119720073
127005ba30
133ccb4657
1425484ccc
151706e930
hexef52504

250946820 has 36 divisors (see below), whose sum is σ = 761205900. Its totient is φ = 66919104.

The previous prime is 250946791. The next prime is 250946837. The reversal of 250946820 is 28649052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34503876 + 216442944 = 5874^2 + 14712^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2509468202 = 125948612936224800, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 696895 + ... + 697254.

Almost surely, 2250946820 is an apocalyptic number.

250946820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

250946820 is an abundant number, since it is smaller than the sum of its proper divisors (510259080).

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

250946820 is a wasteful number, since it uses less digits than its factorization.

250946820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394164 (or 1394159 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 250946820 is about 15841.3010829288. The cubic root of 250946820 is about 630.7548020388.

The spelling of 250946820 in words is "two hundred fifty million, nine hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1394149 2788298 4182447 5576596 6970745 8364894 12547341 13941490 16729788 20912235 25094682 27882980 41824470 50189364 62736705 83648940 125473410 250946820