Search a number
-
+
80688608 = 25711213229
BaseRepresentation
bin1001100111100…
…11010111100000
312121211101221222
410303303113200
5131124013413
612001234212
71666561520
oct463632740
9177741858
1080688608
1141601600
1223032968
1313941950
14aa05680
15713cb08
hex4cf35e0

80688608 has 144 divisors (see below), whose sum is σ = 215843040. Its totient is φ = 28892160.

The previous prime is 80688571. The next prime is 80688617.

80688608 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352238 + ... + 352466.

It is an arithmetic number, because the mean of its divisors is an integer number (1498910).

Almost surely, 280688608 is an apocalyptic number.

80688608 is a gapful number since it is divisible by the number (88) 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 80688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107921520).

80688608 is an abundant number, since it is smaller than the sum of its proper divisors (135154432).

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

80688608 is a wasteful number, since it uses less digits than its factorization.

80688608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 80688608 is about 8982.6837860408. The cubic root of 80688608 is about 432.1197084806.

The spelling of 80688608 in words is "eighty million, six hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 229 242 286 308 352 364 416 458 484 572 616 728 847 916 968 1001 1144 1232 1456 1573 1603 1694 1832 1936 2002 2288 2464 2519 2912 2977 3146 3206 3388 3664 3872 4004 4576 5038 5954 6292 6412 6776 7328 8008 10076 11011 11908 12584 12824 13552 16016 17633 20152 20839 22022 23816 25168 25648 27104 27709 32032 32747 35266 40304 41678 44044 47632 50336 51296 55418 65494 70532 80608 83356 88088 95264 110836 130988 141064 166712 176176 193963 221672 229229 261976 282128 333424 352352 360217 387926 443344 458458 523952 564256 666848 720434 775852 886688 916916 1047904 1440868 1551704 1833832 2521519 2881736 3103408 3667664 5043038 5763472 6206816 7335328 10086076 11526944 20172152 40344304 80688608