Search a number
-
+
288850002 = 23723141773
BaseRepresentation
bin10001001101111…
…000000001010010
3202010112002201020
4101031320001102
51042421200002
644355020310
710105120200
oct2115700122
9663462636
10288850002
11139059311
128089a696
1347ac597c
142a510070
151a55a2bc
hex11378052

288850002 has 96 divisors (see below), whose sum is σ = 711535104. Its totient is φ = 77817600.

The previous prime is 288849997. The next prime is 288850019. The reversal of 288850002 is 200058882.

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 47 ways as a sum of consecutive naturals, for example, 373288 + ... + 374060.

It is an arithmetic number, because the mean of its divisors is an integer number (7411824).

Almost surely, 2288850002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288850002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355767552).

288850002 is an abundant number, since it is smaller than the sum of its proper divisors (422685102).

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

288850002 is a wasteful number, since it uses less digits than its factorization.

288850002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 288850002 is about 16995.5877215235. The cubic root of 288850002 is about 661.0344979527.

The spelling of 288850002 in words is "two hundred eighty-eight million, eight hundred fifty thousand, two".

Divisors: 1 2 3 6 7 14 21 31 41 42 49 62 82 93 98 123 147 186 217 246 287 294 434 574 651 773 861 1271 1302 1519 1546 1722 2009 2319 2542 3038 3813 4018 4557 4638 5411 6027 7626 8897 9114 10822 12054 16233 17794 23963 26691 31693 32466 37877 47926 53382 62279 63386 71889 75754 95079 113631 124558 143778 167741 186837 190158 221851 227262 335482 373674 443702 503223 665553 982483 1006446 1174187 1331106 1552957 1964966 2348374 2947449 3105914 3522561 4658871 5894898 6877381 7045122 9317742 13754762 20632143 41264286 48141667 96283334 144425001 288850002