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688865112 = 2332133719891
BaseRepresentation
bin101001000011110…
…011111101011000
31210000012222021200
4221003303331120
52402322140422
6152204434200
723033154045
oct5103637530
91700188250
10688865112
11323934611
12172848960
13ac9410c0
14676ba1cc
15407232ac
hex290f3f58

688865112 has 96 divisors (see below), whose sum is σ = 2063596080. Its totient is φ = 206219520.

The previous prime is 688865087. The next prime is 688865119. The reversal of 688865112 is 211568886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688865119) 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, 24687 + ... + 44577.

Almost surely, 2688865112 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 688865112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031798040).

688865112 is an abundant number, since it is smaller than the sum of its proper divisors (1374730968).

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

688865112 is a wasteful number, since it uses less digits than its factorization.

688865112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19953 (or 19946 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 688865112 is about 26246.2399592780. The cubic root of 688865112 is about 883.1708577242.

The spelling of 688865112 in words is "six hundred eighty-eight million, eight hundred sixty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2664 2886 3848 4329 5772 8658 11544 17316 19891 34632 39782 59673 79564 119346 159128 179019 238692 258583 358038 477384 517166 716076 735967 775749 1034332 1432152 1471934 1551498 2068664 2207901 2327247 2943868 3102996 4415802 4654494 5887736 6205992 6623703 8831604 9308988 9567571 13247406 17663208 18617976 19135142 26494812 28702713 38270284 52989624 57405426 76540568 86108139 114810852 172216278 229621704 344432556 688865112