Search a number
-
+
68983488 = 263471901
BaseRepresentation
bin1000001110010…
…01101011000000
311210210201120000
410013021223000
5120124432423
610502320000
71465231020
oct407115300
9153721500
1068983488
1135a37352
121b129000
13113a3c42
149239a80
1560c9843
hex41c9ac0

68983488 has 140 divisors (see below), whose sum is σ = 233824272. Its totient is φ = 19699200.

The previous prime is 68983487. The next prime is 68983493. The reversal of 68983488 is 88438986.

68983488 is a `hidden beast` number, since 6 + 89 + 83 + 488 = 666.

It is a super-2 number, since 2×689834882 = 9517443233292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (68983483) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35338 + ... + 37238.

Almost surely, 268983488 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 68983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116912136).

68983488 is an abundant number, since it is smaller than the sum of its proper divisors (164840784).

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

68983488 is a wasteful number, since it uses less digits than its factorization.

68983488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1913 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 68983488 is about 8305.6298978464. The cubic root of 68983488 is about 410.1238729414.

The spelling of 68983488 in words is "sixty-eight million, nine hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 1901 2016 2268 2592 3024 3802 4032 4536 5184 5703 6048 7604 9072 11406 12096 13307 15208 17109 18144 22812 26614 30416 34218 36288 39921 45624 51327 53228 60832 68436 79842 91248 102654 106456 119763 121664 136872 153981 159684 182496 205308 212912 239526 273744 307962 319368 359289 364992 410616 425824 479052 547488 615924 638736 718578 821232 851648 958104 1077867 1094976 1231848 1277472 1437156 1642464 1916208 2155734 2463696 2554944 2874312 3284928 3832416 4311468 4927392 5748624 7664832 8622936 9854784 11497248 17245872 22994496 34491744 68983488