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675218688 = 2833179359
BaseRepresentation
bin101000001111110…
…000010100000000
31202001112122220120
4220033300110000
52340323444223
6151000140240
722506156414
oct5017602400
91661478816
10675218688
11317163881
1216a167680
13a9b738b1
1465966d44
153e429be3
hex283f0500

675218688 has 144 divisors (see below), whose sum is σ = 1883750400. Its totient is φ = 214456320.

The previous prime is 675218669. The next prime is 675218701. The reversal of 675218688 is 886812576.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 675218688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1880653 + ... + 1881011.

It is an arithmetic number, because the mean of its divisors is an integer number (13081600).

Almost surely, 2675218688 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 675218688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941875200).

675218688 is an abundant number, since it is smaller than the sum of its proper divisors (1208531712).

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

675218688 is a wasteful number, since it uses less digits than its factorization.

675218688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 675218688 is about 25984.9704252285. The cubic root of 675218688 is about 877.3000442116.

The spelling of 675218688 in words is "six hundred seventy-five million, two hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 128 158 186 192 237 248 256 316 359 372 384 474 496 632 718 744 768 948 992 1077 1264 1436 1488 1896 1984 2154 2449 2528 2872 2976 3792 3968 4308 4898 5056 5744 5952 7347 7584 7936 8616 9796 10112 11129 11488 11904 14694 15168 17232 19592 20224 22258 22976 23808 28361 29388 30336 33387 34464 39184 44516 45952 56722 58776 60672 66774 68928 78368 85083 89032 91904 113444 117552 133548 137856 156736 170166 178064 226888 235104 267096 275712 313472 340332 356128 453776 470208 534192 626944 680664 712256 879191 907552 940416 1068384 1361328 1424512 1758382 1815104 1880832 2136768 2637573 2722656 2849024 3516764 3630208 4273536 5275146 5445312 7033528 7260416 8547072 10550292 10890624 14067056 21100584 21781248 28134112 42201168 56268224 84402336 112536448 168804672 225072896 337609344 675218688