Search a number
-
+
285337164 = 223743197401
BaseRepresentation
bin10001000000011…
…110011001001100
3201212220122000010
4101000132121030
51041021242124
644151433220
710033216530
oct2100363114
9655818003
10285337164
1113707a042
127b685810
1347165a78
1429c77bc0
151a0b4529
hex1101e64c

285337164 has 96 divisors (see below), whose sum is σ = 784498176. Its totient is φ = 79027200.

The previous prime is 285337153. The next prime is 285337181. The reversal of 285337164 is 461733582.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 711364 + ... + 711764.

It is an arithmetic number, because the mean of its divisors is an integer number (8171856).

Almost surely, 2285337164 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 285337164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392249088).

285337164 is an abundant number, since it is smaller than the sum of its proper divisors (499161012).

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

285337164 is a wasteful number, since it uses less digits than its factorization.

285337164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 285337164 is about 16891.9260003115. The cubic root of 285337164 is about 658.3438458112.

The spelling of 285337164 in words is "two hundred eighty-five million, three hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 197 258 301 394 401 516 591 602 788 802 903 1182 1203 1204 1379 1604 1806 2364 2406 2758 2807 3612 4137 4812 5516 5614 8274 8421 8471 11228 16548 16842 16942 17243 25413 33684 33884 34486 50826 51729 59297 68972 78997 101652 103458 118594 120701 157994 177891 206916 236991 237188 241402 315988 355782 362103 473982 482804 552979 711564 724206 947964 1105958 1448412 1658937 2211916 3317874 3396871 6635748 6793742 10190613 13587484 20381226 23778097 40762452 47556194 71334291 95112388 142668582 285337164