Search a number
-
+
288797085 = 32523319001
BaseRepresentation
bin10001001101101…
…011000110011101
3202010102102010100
4101031223012131
51042413001320
644353531313
710104510003
oct2115530635
9663372110
10288797085
11139022585
1280873b39
1347aa7865
142a4d8a73
151a549790
hex1136b19d

288797085 has 48 divisors (see below), whose sum is σ = 539255808. Its totient is φ = 142560000.

The previous prime is 288797083. The next prime is 288797107. The reversal of 288797085 is 580797882.

It is not a de Polignac number, because 288797085 - 21 = 288797083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288797081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27585 + ... + 36585.

It is an arithmetic number, because the mean of its divisors is an integer number (11234496).

Almost surely, 2288797085 is an apocalyptic number.

It is an amenable number.

288797085 is a deficient number, since it is larger than the sum of its proper divisors (250458723).

288797085 is a wasteful number, since it uses less digits than its factorization.

288797085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 288797085 is about 16994.0308638063. The cubic root of 288797085 is about 660.9941285584.

The spelling of 288797085 in words is "two hundred eighty-eight million, seven hundred ninety-seven thousand, eighty-five".

Divisors: 1 3 5 9 15 23 31 45 69 93 115 155 207 279 345 465 713 1035 1395 2139 3565 6417 9001 10695 27003 32085 45005 81009 135015 207023 279031 405045 621069 837093 1035115 1395155 1863207 2511279 3105345 4185465 6417713 9316035 12556395 19253139 32088565 57759417 96265695 288797085