Search a number
-
+
287196048 = 24322997709
BaseRepresentation
bin10001000111100…
…100001110010000
3202000102001220200
4101013210032100
51042010233143
644255335200
710055061156
oct2107441620
9660361820
10287196048
11138129707
1280221500
1347666bb9
142a1dd3d6
151a3301d3
hex111e4390

287196048 has 120 divisors (see below), whose sum is σ = 841222200. Its totient is φ = 91348992.

The previous prime is 287196043. The next prime is 287196053. The reversal of 287196048 is 840691782.

287196048 is a `hidden beast` number, since 28 + 7 + 19 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (287196043) and next prime (287196053).

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 278622864 = 2928^2 + 16692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 287195994 and 287196012.

It is not an unprimeable number, because it can be changed into a prime (287196043) 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 23 ways as a sum of consecutive naturals, for example, 404718 + ... + 405426.

It is an arithmetic number, because the mean of its divisors is an integer number (7010185).

Almost surely, 2287196048 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 287196048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420611100).

287196048 is an abundant number, since it is smaller than the sum of its proper divisors (554026152).

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

287196048 is a wasteful number, since it uses less digits than its factorization.

287196048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 287196048 is about 16946.8595320785. The cubic root of 287196048 is about 659.7703884478.

The spelling of 287196048 in words is "two hundred eighty-seven million, one hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 97 116 144 174 194 232 261 291 348 388 464 522 582 696 709 776 873 1044 1164 1392 1418 1552 1746 2088 2127 2328 2813 2836 3492 4176 4254 4656 5626 5672 6381 6984 8439 8508 11252 11344 12762 13968 16878 17016 20561 22504 25317 25524 33756 34032 41122 45008 50634 51048 61683 67512 68773 82244 101268 102096 123366 135024 137546 164488 185049 202536 206319 246732 275092 328976 370098 405072 412638 493464 550184 618957 740196 825276 986928 1100368 1237914 1480392 1650552 1994417 2475828 2960784 3301104 3988834 4951656 5983251 7977668 9903312 11966502 15955336 17949753 23933004 31910672 35899506 47866008 71799012 95732016 143598024 287196048