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289000248 = 23343972887
BaseRepresentation
bin10001001110011…
…100101100111000
3202010210201210220
4101032130230320
51042441001443
644402140040
710106314215
oct2116345470
9663721726
10289000248
11139151189
1280951620
1347b49184
142a54cb0c
151a589a83
hex1139cb38

289000248 has 64 divisors (see below), whose sum is σ = 747183360. Its totient is φ = 93090816.

The previous prime is 289000219. The next prime is 289000253. The reversal of 289000248 is 842000982.

It is a super-2 number, since 2×2890002482 = 167042286688123008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98661 + ... + 101547.

It is an arithmetic number, because the mean of its divisors is an integer number (11674740).

Almost surely, 2289000248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289000248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373591680).

289000248 is an abundant number, since it is smaller than the sum of its proper divisors (458183112).

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

289000248 is a wasteful number, since it uses less digits than its factorization.

289000248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 289000248 is about 17000.0072941161. The cubic root of 289000248 is about 661.1490909633.

The spelling of 289000248 in words is "two hundred eighty-nine million, two hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 43 86 97 129 172 194 258 291 344 388 516 582 776 1032 1164 2328 2887 4171 5774 8342 8661 11548 12513 16684 17322 23096 25026 33368 34644 50052 69288 100104 124141 248282 280039 372423 496564 560078 744846 840117 993128 1120156 1489692 1680234 2240312 2979384 3360468 6720936 12041677 24083354 36125031 48166708 72250062 96333416 144500124 289000248