Search a number
-
+
68284416 = 21235557
BaseRepresentation
bin1000001000111…
…11000000000000
311202111012121110
410010133000000
5114440100131
610435323320
71456256634
oct404370000
9152435543
1068284416
11355aa102
121aa50540
13111ba9a5
1490d6dc4
155edc646
hex411f000

68284416 has 52 divisors (see below), whose sum is σ = 182102312. Its totient is φ = 22757376.

The previous prime is 68284379. The next prime is 68284421. The reversal of 68284416 is 61448286.

It is a super-2 number, since 2×682844162 = 9325522936922112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9510 + ... + 15066.

Almost surely, 268284416 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 68284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91051156).

68284416 is an abundant number, since it is smaller than the sum of its proper divisors (113817896).

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

68284416 is an equidigital number, since it uses as much as digits as its factorization.

68284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5562 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 68284416 is about 8263.4385094826. The cubic root of 68284416 is about 408.7337813988.

The spelling of 68284416 in words is "sixty-eight million, two hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 5557 6144 11114 12288 16671 22228 33342 44456 66684 88912 133368 177824 266736 355648 533472 711296 1066944 1422592 2133888 2845184 4267776 5690368 8535552 11380736 17071104 22761472 34142208 68284416