Search a number
-
+
288635113 = 1337600073
BaseRepresentation
bin10001001101000…
…011100011101001
3202010010011221101
4101031003203221
51042342310423
644350241401
710103233534
oct2115034351
9663104841
10288635113
11138a21918
12807b6261
1347a4bc10
142a495a1b
151a5167ad
hex113438e9

288635113 has 8 divisors (see below), whose sum is σ = 319239368. Its totient is φ = 259231104.

The previous prime is 288635107. The next prime is 288635143. The reversal of 288635113 is 311536882.

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 274134249 = 3808^2 + 16557^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288635113 - 29 = 288634601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288635143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299556 + ... + 300517.

It is an arithmetic number, because the mean of its divisors is an integer number (39904921).

Almost surely, 2288635113 is an apocalyptic number.

It is an amenable number.

288635113 is a deficient number, since it is larger than the sum of its proper divisors (30604255).

288635113 is a wasteful number, since it uses less digits than its factorization.

288635113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600123.

The product of its digits is 34560, while the sum is 37.

The square root of 288635113 is about 16989.2646397659. The cubic root of 288635113 is about 660.8705324787.

The spelling of 288635113 in words is "two hundred eighty-eight million, six hundred thirty-five thousand, one hundred thirteen".

Divisors: 1 13 37 481 600073 7800949 22202701 288635113