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250390890 = 232522912149
BaseRepresentation
bin11101110110010…
…10100101101010
3122110011011201200
432323022211222
51003100002030
640502425030
76130200411
oct1673124552
9573134650
10250390890
11119380422
126ba32176
133cb4b5b9
142537c478
1516eaed60
hexeeca96a

250390890 has 48 divisors (see below), whose sum is σ = 653913000. Its totient is φ = 66473856.

The previous prime is 250390883. The next prime is 250390897. The reversal of 250390890 is 98093052.

It is an interprime number because it is at equal distance from previous prime (250390883) and next prime (250390897).

It can be written as a sum of positive squares in 4 ways, for example, as 246458601 + 3932289 = 15699^2 + 1983^2 .

It is not an unprimeable number, because it can be changed into a prime (250390897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14536 + ... + 26684.

Almost surely, 2250390890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250390890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326956500).

250390890 is an abundant number, since it is smaller than the sum of its proper divisors (403522110).

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

250390890 is a wasteful number, since it uses less digits than its factorization.

250390890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12391 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 250390890 is about 15823.7444999595. The cubic root of 250390890 is about 630.2886810024.

The spelling of 250390890 in words is "two hundred fifty million, three hundred ninety thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 10305 12149 20610 24298 36447 60745 72894 109341 121490 182235 218682 364470 546705 1093410 2782121 5564242 8346363 13910605 16692726 25039089 27821210 41731815 50078178 83463630 125195445 250390890