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268284492 = 223272294649
BaseRepresentation
bin11111111110110…
…11001001001100
3200200211021010200
433333123021030
51022140100432
642342133500
76435244350
oct1777331114
9620737120
10268284492
11128492123
1275a21290
1343775028
14278b9460
1518846a7c
hexffdb24c

268284492 has 72 divisors (see below), whose sum is σ = 778596000. Its totient is φ = 76301568.

The previous prime is 268284491. The next prime is 268284493. The reversal of 268284492 is 294482862.

268284492 is a `hidden beast` number, since 2 + 6 + 82 + 84 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (268284491) and next prime (268284493).

It is not an unprimeable number, because it can be changed into a prime (268284491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55384 + ... + 60032.

Almost surely, 2268284492 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 268284492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389298000).

268284492 is an abundant number, since it is smaller than the sum of its proper divisors (510311508).

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

268284492 is a wasteful number, since it uses less digits than its factorization.

268284492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4890 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 268284492 is about 16379.3922964193. The cubic root of 268284492 is about 644.9586272363.

The spelling of 268284492 in words is "two hundred sixty-eight million, two hundred eighty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1603 2061 2748 3206 4122 4649 4809 6412 8244 9298 9618 13947 14427 18596 19236 27894 28854 32543 41841 55788 57708 65086 83682 97629 130172 167364 195258 292887 390516 585774 1064621 1171548 2129242 3193863 4258484 6387726 7452347 9581589 12775452 14904694 19163178 22357041 29809388 38326356 44714082 67071123 89428164 134142246 268284492