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68848384 = 2811231063
BaseRepresentation
bin1000001101010…
…00101100000000
311210112212020011
410012220230000
5120111122014
610455354304
71464126103
oct406505400
9153485204
1068848384
11359548a0
121b082994
13113575b7
14920273a
15609e7c4
hex41a8b00

68848384 has 72 divisors (see below), whose sum is σ = 156586752. Its totient is φ = 29905920.

The previous prime is 68848357. The next prime is 68848387. The reversal of 68848384 is 48384886.

It is a super-2 number, since 2×688483842 = 9480199958822912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68848387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64237 + ... + 65299.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816).

Almost surely, 268848384 is an apocalyptic number.

68848384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

68848384 is an abundant number, since it is smaller than the sum of its proper divisors (87738368).

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

68848384 is a wasteful number, since it uses less digits than its factorization.

68848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 49.

The square root of 68848384 is about 8297.4926333200. The cubic root of 68848384 is about 409.8559557447.

The spelling of 68848384 in words is "sixty-eight million, eight hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 704 736 1012 1063 1408 1472 2024 2126 2816 2944 4048 4252 5888 8096 8504 11693 16192 17008 23386 24449 32384 34016 46772 48898 64768 68032 93544 97796 136064 187088 195592 268939 272128 374176 391184 537878 748352 782368 1075756 1496704 1564736 2151512 2993408 3129472 4303024 6258944 8606048 17212096 34424192 68848384