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250535040 = 2735722663
BaseRepresentation
bin11101110111011…
…01110010000000
3122110102111110120
432323231302000
51003114110130
640505500240
76131340600
oct1673556200
9573374416
10250535040
11119469758
126baa1680
133cb9c0b2
14253b8c00
1516edc910
hexeeedc80

250535040 has 192 divisors, whose sum is σ = 929309760. Its totient is φ = 57243648.

The previous prime is 250535017. The next prime is 250535053. The reversal of 250535040 is 40535052.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 250535040.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92749 + ... + 95411.

It is an arithmetic number, because the mean of its divisors is an integer number (4840155).

Almost surely, 2250535040 is an apocalyptic number.

250535040 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 250535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464654880).

250535040 is an abundant number, since it is smaller than the sum of its proper divisors (678774720).

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

250535040 is a wasteful number, since it uses less digits than its factorization.

250535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 250535040 is about 15828.2987083262. The cubic root of 250535040 is about 630.4096101673.

The spelling of 250535040 in words is "two hundred fifty million, five hundred thirty-five thousand, forty".