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250985280 = 2635713317
BaseRepresentation
bin11101111010110…
…11101101000000
3122111021101002010
432331123231000
51003223012110
640523252520
76135224340
oct1675335500
9574241063
10250985280
11119746a57
127007a140
133ccc9000
1425494d20
151707b020
hexef5bb40

250985280 has 448 divisors, whose sum is σ = 1044610560. Its totient is φ = 49840128.

The previous prime is 250985249. The next prime is 250985321. The reversal of 250985280 is 82589052.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2509852802 = 125987221553356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14763832 + ... + 14763848.

It is an arithmetic number, because the mean of its divisors is an integer number (2331720).

Almost surely, 2250985280 is an apocalyptic number.

250985280 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 250985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522305280).

250985280 is an abundant number, since it is smaller than the sum of its proper divisors (793625280).

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

250985280 is a wasteful number, since it uses less digits than its factorization.

250985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 250985280 is about 15842.5149518629. The cubic root of 250985280 is about 630.7870234612.

The spelling of 250985280 in words is "two hundred fifty million, nine hundred eighty-five thousand, two hundred eighty".