Search a number
-
+
287970264 = 233261173379
BaseRepresentation
bin10001001010100…
…001001111011000
3202001212101221100
4101022201033120
51042210022024
644324111400
710064464311
oct2112411730
9661771840
10287970264
1113860835a
1280535560
134787840a
142a361608
151a4347c9
hex112a13d8

287970264 has 96 divisors (see below), whose sum is σ = 799390800. Its totient is φ = 93623040.

The previous prime is 287970257. The next prime is 287970283. The reversal of 287970264 is 462079782.

287970264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759627 + ... + 760005.

Almost surely, 2287970264 is an apocalyptic number.

287970264 is a gapful number since it is divisible by the number (24) 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 287970264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399695400).

287970264 is an abundant number, since it is smaller than the sum of its proper divisors (511420536).

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

287970264 is a wasteful number, since it uses less digits than its factorization.

287970264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 287970264 is about 16969.6866205596. The cubic root of 287970264 is about 660.3627207308.

The spelling of 287970264 in words is "two hundred eighty-seven million, nine hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 173 183 244 346 366 379 488 519 549 692 732 758 1038 1098 1137 1384 1464 1516 1557 2076 2196 2274 3032 3114 3411 4152 4392 4548 6228 6822 9096 10553 12456 13644 21106 23119 27288 31659 42212 46238 63318 65567 69357 84424 92476 94977 126636 131134 138714 184952 189954 196701 208071 253272 262268 277428 379908 393402 416142 524536 554856 590103 759816 786804 832284 1180206 1573608 1664568 2360412 3999587 4720824 7999174 11998761 15998348 23997522 31996696 35996283 47995044 71992566 95990088 143985132 287970264