Search a number
-
+
676826688 = 26341127677
BaseRepresentation
bin101000010101111…
…000111001000000
31202011120100200010
4220111320321000
52341231423223
6151054424520
722525634436
oct5025707100
91664510603
10676826688
113180619aa
1216a802140
13aa2b7785
1465c64d56
153e646393
hex28578e40

676826688 has 112 divisors (see below), whose sum is σ = 1851623424. Its totient is φ = 218050560.

The previous prime is 676826639. The next prime is 676826747. The reversal of 676826688 is 886628676.

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, 999406 + ... + 1000082.

It is an arithmetic number, because the mean of its divisors is an integer number (16532352).

Almost surely, 2676826688 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 676826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925811712).

676826688 is an abundant number, since it is smaller than the sum of its proper divisors (1174796736).

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

676826688 is a wasteful number, since it uses less digits than its factorization.

676826688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 676826688 is about 26015.8929887098. The cubic root of 676826688 is about 877.9959077094.

The spelling of 676826688 in words is "six hundred seventy-six million, eight hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 127 164 192 246 254 328 381 492 508 656 677 762 984 1016 1312 1354 1524 1968 2031 2032 2624 2708 3048 3936 4062 4064 5207 5416 6096 7872 8124 8128 10414 10832 12192 15621 16248 20828 21664 24384 27757 31242 32496 41656 43328 55514 62484 64992 83271 83312 85979 111028 124968 129984 166542 166624 171958 222056 249936 257937 333084 333248 343916 444112 499872 515874 666168 687832 888224 999744 1031748 1332336 1375664 1776448 2063496 2664672 2751328 3525139 4126992 5329344 5502656 7050278 8253984 10575417 14100556 16507968 21150834 28201112 42301668 56402224 84603336 112804448 169206672 225608896 338413344 676826688