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250290040 = 2357211131947
BaseRepresentation
bin11101110101100…
…01111101111000
3122102222001101111
432322301331320
51003033240130
640500330104
76126300400
oct1672617570
9572861344
10250290040
11119311680
126b9a3934
133cb14720
1425353800
1516e9002a
hexeeb1f78

250290040 has 384 divisors, whose sum is σ = 827366400. Its totient is φ = 66769920.

The previous prime is 250290037. The next prime is 250290049. The reversal of 250290040 is 40092052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 250289993 and 250290020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250290049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5325297 + ... + 5325343.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2250290040 is an apocalyptic number.

250290040 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 250290040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

250290040 is an abundant number, since it is smaller than the sum of its proper divisors (577076360).

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

250290040 is a wasteful number, since it uses less digits than its factorization.

250290040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 250290040 is about 15820.5575123003. The cubic root of 250290040 is about 630.2040491302.

The spelling of 250290040 in words is "two hundred fifty million, two hundred ninety thousand, forty".