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250053440 = 26571331277
BaseRepresentation
bin11101110011110…
…00001101000000
3122102112000211112
432321320031000
51003003202230
640451302452
76124263530
oct1671701500
9572460745
10250053440
1111916a93a
126b8aaa28
133ca60b20
14252d14c0
1516e44d95
hexee78340

250053440 has 224 divisors, whose sum is σ = 759220224. Its totient is φ = 76308480.

The previous prime is 250053431. The next prime is 250053443. The reversal of 250053440 is 44350052.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250053443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 902582 + ... + 902858.

It is an arithmetic number, because the mean of its divisors is an integer number (3389376).

Almost surely, 2250053440 is an apocalyptic number.

250053440 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 250053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379610112).

250053440 is an abundant number, since it is smaller than the sum of its proper divisors (509166784).

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

250053440 is a wasteful number, since it uses less digits than its factorization.

250053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 250053440 is about 15813.0781317238. The cubic root of 250053440 is about 630.0054085368.

The spelling of 250053440 in words is "two hundred fifty million, fifty-three thousand, four hundred forty".