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250564640 = 2552954001
BaseRepresentation
bin11101110111101…
…01000000100000
3122110111000001212
432323311000200
51003121032030
640510245252
76131523104
oct1673650040
9573430055
10250564640
11119489a17
126bab6828
133cbac701
14253c5904
1516ee6595
hexeef5020

250564640 has 48 divisors (see below), whose sum is σ = 612382680. Its totient is φ = 96768000.

The previous prime is 250564627. The next prime is 250564667. The reversal of 250564640 is 46465052.

It can be written as a sum of positive squares in 4 ways, for example, as 170354704 + 80209936 = 13052^2 + 8956^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 250564597 and 250564606.

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 7 ways as a sum of consecutive naturals, for example, 22361 + ... + 31640.

Almost surely, 2250564640 is an apocalyptic number.

250564640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

250564640 is an abundant number, since it is smaller than the sum of its proper divisors (361818040).

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

250564640 is a wasteful number, since it uses less digits than its factorization.

250564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54045 (or 54037 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 250564640 is about 15829.2337148707. The cubic root of 250564640 is about 630.4344362217.

The spelling of 250564640 in words is "two hundred fifty million, five hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 54001 108002 216004 270005 432008 540010 864016 1080020 1566029 1728032 2160040 3132058 4320080 6264116 7830145 8640160 12528232 15660290 25056464 31320580 50112928 62641160 125282320 250564640