Search a number
-
+
287896856 = 23136779523
BaseRepresentation
bin10001001010001…
…111010100011000
3202001201200020112
4101022033110120
51042200144411
644322343452
710064040302
oct2112172430
9661650215
10287896856
11138568195
12804bab88
1347850b90
142a342972
151a41cb8b
hex1128f518

287896856 has 64 divisors (see below), whose sum is σ = 598617600. Its totient is φ = 128988288.

The previous prime is 287896841. The next prime is 287896859. The reversal of 287896856 is 658698782.

It is a junction number, because it is equal to n+sod(n) for n = 287896795 and 287896804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287896859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550211 + ... + 550733.

It is an arithmetic number, because the mean of its divisors is an integer number (9353400).

Almost surely, 2287896856 is an apocalyptic number.

287896856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287896856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299308800).

287896856 is an abundant number, since it is smaller than the sum of its proper divisors (310720744).

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

287896856 is a wasteful number, since it uses less digits than its factorization.

287896856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 59.

The square root of 287896856 is about 16967.5235670972. The cubic root of 287896856 is about 660.3066037952.

The spelling of 287896856 in words is "two hundred eighty-seven million, eight hundred ninety-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 67 79 104 134 158 268 316 523 536 632 871 1027 1046 1742 2054 2092 3484 4108 4184 5293 6799 6968 8216 10586 13598 21172 27196 35041 41317 42344 54392 68809 70082 82634 137618 140164 165268 275236 280328 330536 455533 537121 550472 911066 1074242 1822132 2148484 2768239 3644264 4296968 5536478 11072956 22145912 35987107 71974214 143948428 287896856