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68114448 = 24324183139
BaseRepresentation
bin1000000111101…
…01100000010000
311202011120110100
410003311200100
5114414130243
610431532400
71454651253
oct403654020
9152146410
1068114448
11354a3436
121a98a100
131115b50c
14909109a
155ea70d3
hex40f5810

68114448 has 120 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 21726720.

The previous prime is 68114443. The next prime is 68114483. The reversal of 68114448 is 84441186.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68114443) 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, 489963 + ... + 490101.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 268114448 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 68114448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

68114448 is an abundant number, since it is smaller than the sum of its proper divisors (130935312).

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

68114448 is a wasteful number, since it uses less digits than its factorization.

68114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 68114448 is about 8253.1477631265. The cubic root of 68114448 is about 408.3943706989.

It can be divided in two parts, 681 and 14448, that added together give a square (15129 = 1232).

The spelling of 68114448 in words is "sixty-eight million, one hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 83 123 139 144 164 166 246 249 278 328 332 369 417 492 498 556 656 664 738 747 834 984 996 1112 1251 1328 1476 1494 1668 1968 1992 2224 2502 2952 2988 3336 3403 3984 5004 5699 5904 5976 6672 6806 10008 10209 11398 11537 11952 13612 17097 20016 20418 22796 23074 27224 30627 34194 34611 40836 45592 46148 51291 54448 61254 68388 69222 81672 91184 92296 102582 103833 122508 136776 138444 163344 184592 205164 207666 245016 273552 276888 410328 415332 473017 490032 553776 820656 830664 946034 1419051 1661328 1892068 2838102 3784136 4257153 5676204 7568272 8514306 11352408 17028612 22704816 34057224 68114448