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681522688 = 2971159293
BaseRepresentation
bin101000100111110…
…011011000000000
31202111101221101001
4220213303120000
52343432211223
6151343221344
722613563420
oct5047633000
91674357331
10681522688
1131a77a0a0
121702a7854
13ab270082
1466728480
153ec729ad
hex289f3600

681522688 has 160 divisors (see below), whose sum is σ = 1732389120. Its totient is φ = 260136960.

The previous prime is 681522659. The next prime is 681522689. The reversal of 681522688 is 886225186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681522689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325870 + ... + 2326162.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2681522688 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 681522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

681522688 is an abundant number, since it is smaller than the sum of its proper divisors (1050866432).

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

681522688 is a wasteful number, since it uses less digits than its factorization.

681522688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The square root of 681522688 is about 26105.9895043264. The cubic root of 681522688 is about 880.0218176409.

It can be divided in two parts, 68 and 1522688, that added together give a square (1522756 = 12342).

The spelling of 681522688 in words is "six hundred eighty-one million, five hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 128 154 176 224 236 256 293 308 352 413 448 472 512 586 616 649 704 826 896 944 1172 1232 1298 1408 1652 1792 1888 2051 2344 2464 2596 2816 3223 3304 3584 3776 4102 4543 4688 4928 5192 5632 6446 6608 7552 8204 9086 9376 9856 10384 12892 13216 15104 16408 17287 18172 18752 19712 20768 22561 25784 26432 30208 32816 34574 36344 37504 39424 41536 45122 51568 52864 65632 69148 72688 75008 83072 90244 103136 105728 121009 131264 138296 145376 150016 166144 180488 190157 206272 211456 242018 262528 276592 290752 332288 360976 380314 412544 484036 525056 553184 581504 721952 760628 825088 968072 1050112 1106368 1163008 1331099 1443904 1521256 1650176 1936144 2212736 2326016 2662198 2887808 3042512 3872288 4425472 5324396 5775616 6085024 7744576 8850944 10648792 11551232 12170048 15489152 21297584 24340096 30978304 42595168 48680192 61956608 85190336 97360384 170380672 340761344 681522688