Search a number
-
+
268862984 = 23139972593
BaseRepresentation
bin10000000001101…
…000011000001000
3200201220122200022
4100001220120020
51022312103414
642402400012
76443204045
oct2001503010
9621818608
10268862984
11128847815
1276060008
1343918430
14279ca1cc
151890d18e
hex10068608

268862984 has 32 divisors (see below), whose sum is σ = 543650520. Its totient is φ = 123918336.

The previous prime is 268862897. The next prime is 268862987. The reversal of 268862984 is 489268862.

It can be written as a sum of positive squares in 4 ways, for example, as 239940100 + 28922884 = 15490^2 + 5378^2 .

It is not an unprimeable number, because it can be changed into a prime (268862987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102392 + ... + 104984.

Almost surely, 2268862984 is an apocalyptic number.

It is an amenable number.

268862984 is an abundant number, since it is smaller than the sum of its proper divisors (274787536).

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

268862984 is a wasteful number, since it uses less digits than its factorization.

268862984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3605 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 53.

The square root of 268862984 is about 16397.0419283479. The cubic root of 268862984 is about 645.4218613135.

The spelling of 268862984 in words is "two hundred sixty-eight million, eight hundred sixty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 997 1994 2593 3988 5186 7976 10372 12961 20744 25922 33709 51844 67418 103688 134836 269672 2585221 5170442 10340884 20681768 33607873 67215746 134431492 268862984