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287421912 = 233310312919
BaseRepresentation
bin10001001000011…
…011010111011000
3202000211112202000
4101020123113120
51042040000122
644304241000
710060021521
oct2110332730
9660745660
10287421912
11138273378
1280310160
134771594b
142a25b848
151a3770ac
hex1121b5d8

287421912 has 64 divisors (see below), whose sum is σ = 806208000. Its totient is φ = 94869792.

The previous prime is 287421899. The next prime is 287421913. The reversal of 287421912 is 219124782.

It is a super-2 number, since 2×2874219122 = 165222710995471488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287421913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15789 + ... + 28707.

It is an arithmetic number, because the mean of its divisors is an integer number (12597000).

Almost surely, 2287421912 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 287421912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403104000).

287421912 is an abundant number, since it is smaller than the sum of its proper divisors (518786088).

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

287421912 is a wasteful number, since it uses less digits than its factorization.

287421912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037 (or 13027 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 287421912 is about 16953.5221119389. The cubic root of 287421912 is about 659.9433009144.

The spelling of 287421912 in words is "two hundred eighty-seven million, four hundred twenty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2472 2781 3708 5562 7416 11124 12919 22248 25838 38757 51676 77514 103352 116271 155028 232542 310056 348813 465084 697626 930168 1330657 1395252 2661314 2790504 3991971 5322628 7983942 10645256 11975913 15967884 23951826 31935768 35927739 47903652 71855478 95807304 143710956 287421912