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250552640 = 26513241113
BaseRepresentation
bin11101110111100…
…10000101000000
3122110110101121102
432323302011000
51003120141030
640510113532
76131443112
oct1673620500
9573411542
10250552640
111194809a8
126baab8a8
133cba7100
14253c13b2
1516ee2c45
hexeef2140

250552640 has 168 divisors, whose sum is σ = 667667448. Its totient is φ = 89456640.

The previous prime is 250552637. The next prime is 250552651. The reversal of 250552640 is 46255052.

It can be written as a sum of positive squares in 12 ways, for example, as 247621696 + 2930944 = 15736^2 + 1712^2 .

It is a congruent number.

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, 2217224 + ... + 2217336.

It is an arithmetic number, because the mean of its divisors is an integer number (3974211).

Almost surely, 2250552640 is an apocalyptic number.

250552640 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 250552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333833724).

250552640 is an abundant number, since it is smaller than the sum of its proper divisors (417114808).

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

250552640 is a wasteful number, since it uses less digits than its factorization.

250552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 250552640 is about 15828.8546648202. The cubic root of 250552640 is about 630.4243718407.

The spelling of 250552640 in words is "two hundred fifty million, five hundred fifty-two thousand, six hundred forty".