Search a number
-
+
286115032 = 237172373179
BaseRepresentation
bin10001000011011…
…100010011011000
3201221101011001001
4101003130103120
51041221140112
644220234344
710042636420
oct2103342330
9657334031
10286115032
11137560505
127b99b9b4
1347378b48
1429ddb480
151a1b9c57
hex110dc4d8

286115032 has 128 divisors (see below), whose sum is σ = 690508800. Its totient is φ = 108269568.

The previous prime is 286115023. The next prime is 286115051. The reversal of 286115032 is 230511682.

It is a super-2 number, since 2×2861150322 = 163723623072722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598319 + ... + 1598497.

It is an arithmetic number, because the mean of its divisors is an integer number (5394600).

Almost surely, 2286115032 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 286115032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345254400).

286115032 is an abundant number, since it is smaller than the sum of its proper divisors (404393768).

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

286115032 is a wasteful number, since it uses less digits than its factorization.

286115032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 286115032 is about 16914.9351757552. The cubic root of 286115032 is about 658.9415480188.

The spelling of 286115032 in words is "two hundred eighty-six million, one hundred fifteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 73 92 119 136 146 161 179 184 238 292 322 358 391 476 511 584 644 716 782 952 1022 1241 1253 1288 1432 1564 1679 2044 2482 2506 2737 3043 3128 3358 4088 4117 4964 5012 5474 6086 6716 8234 8687 9928 10024 10948 11753 12172 13067 13432 16468 17374 21301 21896 23506 24344 26134 28543 28819 32936 34748 42602 47012 52268 57086 57638 69496 69989 85204 91469 94024 104536 114172 115276 139978 170408 182938 199801 222139 228344 230552 279956 300541 365876 399602 444278 489923 559912 601082 731752 799204 888556 979846 1202164 1554973 1598408 1777112 1959692 2103787 2404328 3109946 3919384 4207574 5109197 6219892 8415148 10218394 12439784 16830296 20436788 35764379 40873576 71528758 143057516 286115032