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288683257 = 1387320809
BaseRepresentation
bin10001001101001…
…111010011111001
3202010012121222111
4101031033103321
51042400331012
644351252321
710103524102
oct2115172371
9663177874
10288683257
11138a55005
128081a0a1
1347a67ac5
142a4a93a9
151a525ba7
hex1134f4f9

288683257 has 4 divisors (see below), whose sum is σ = 288717940. Its totient is φ = 288648576.

The previous prime is 288683251. The next prime is 288683261. The reversal of 288683257 is 752386882.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 186349801 = 10116^2 + 13651^2 .

It is a 3-Lehmer number, since φ(288683257) divides (288683257-1)3.

It is a cyclic number.

It is not a de Polignac number, because 288683257 - 211 = 288681209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288683257.

It is not an unprimeable number, because it can be changed into a prime (288683251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3469 + ... + 24277.

It is an arithmetic number, because the mean of its divisors is an integer number (72179485).

Almost surely, 2288683257 is an apocalyptic number.

288683257 is the 13873-rd pentagonal number.

It is an amenable number.

288683257 is a deficient number, since it is larger than the sum of its proper divisors (34683).

288683257 is a wasteful number, since it uses less digits than its factorization.

288683257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34682.

The product of its digits is 1290240, while the sum is 49.

The square root of 288683257 is about 16990.6814754441. The cubic root of 288683257 is about 660.9072745805.

The spelling of 288683257 in words is "two hundred eighty-eight million, six hundred eighty-three thousand, two hundred fifty-seven".

Divisors: 1 13873 20809 288683257