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766469676 = 2237531071609
BaseRepresentation
bin101101101011110…
…110011000101100
31222102020200201210
4231223312120230
53032204012201
6204020034420
724664612320
oct5553663054
91872220653
10766469676
1136371a015
12194832a10
13c2a4306b
1473b1b980
15474521d6
hex2daf662c

766469676 has 96 divisors (see below), whose sum is σ = 2103252480. Its totient is φ = 212719104.

The previous prime is 766469663. The next prime is 766469677. The reversal of 766469676 is 676964667.

It is not an unprimeable number, because it can be changed into a prime (766469677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475560 + ... + 477168.

It is an arithmetic number, because the mean of its divisors is an integer number (21908880).

Almost surely, 2766469676 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 766469676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051626240).

766469676 is an abundant number, since it is smaller than the sum of its proper divisors (1336782804).

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

766469676 is a wasteful number, since it uses less digits than its factorization.

766469676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1781 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 57.

The square root of 766469676 is about 27685.1887477763. The cubic root of 766469676 is about 915.1627313661.

The spelling of 766469676 in words is "seven hundred sixty-six million, four hundred sixty-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 107 159 212 214 318 321 371 428 636 642 742 749 1113 1284 1484 1498 1609 2226 2247 2996 3218 4452 4494 4827 5671 6436 8988 9654 11263 11342 17013 19308 22526 22684 33789 34026 39697 45052 67578 68052 79394 85277 119091 135156 158788 170554 172163 238182 255831 341108 344326 476364 511662 516489 596939 688652 1023324 1032978 1193878 1205141 1790817 2065956 2387756 2410282 3581634 3615423 4820564 7163268 7230846 9124639 14461692 18249278 27373917 36498556 54747834 63872473 109495668 127744946 191617419 255489892 383234838 766469676