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288141841 = 1335396263
BaseRepresentation
bin10001001011001…
…011001000010001
3202002012010022001
4101023023020101
51042231014331
644331514001
710066110451
oct2113131021
9662163261
10288141841
11138715259
12805b8901
1347908540
142a3a7d61
151a46a561
hex112cb211

288141841 has 8 divisors (see below), whose sum is σ = 310443840. Its totient is φ = 265859472.

The previous prime is 288141817. The next prime is 288141863. The reversal of 288141841 is 148141882.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-288141841 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 288141841.

It is not an unprimeable number, because it can be changed into a prime (288141871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42876 + ... + 49138.

It is an arithmetic number, because the mean of its divisors is an integer number (38805480).

Almost surely, 2288141841 is an apocalyptic number.

It is an amenable number.

288141841 is a deficient number, since it is larger than the sum of its proper divisors (22301999).

288141841 is a wasteful number, since it uses less digits than its factorization.

288141841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815.

The product of its digits is 16384, while the sum is 37.

The square root of 288141841 is about 16974.7412645966. The cubic root of 288141841 is about 660.4938460280.

It can be divided in two parts, 288 and 141841, that added together give a square (142129 = 3772).

The spelling of 288141841 in words is "two hundred eighty-eight million, one hundred forty-one thousand, eight hundred forty-one".

Divisors: 1 13 3539 6263 46007 81419 22164757 288141841