Search a number
-
+
676837896 = 233773229241
BaseRepresentation
bin101000010101111…
…011101000001000
31202011120221001020
4220111323220020
52341232303041
6151054552440
722526012220
oct5025735010
91664527036
10676837896
1131806a369
1216a808720
13aa2bc8c7
1465c69080
153e649866
hex2857ba08

676837896 has 128 divisors (see below), whose sum is σ = 1977043200. Its totient is φ = 189112320.

The previous prime is 676837891. The next prime is 676837897. The reversal of 676837896 is 698738676.

It is not an unprimeable number, because it can be changed into a prime (676837891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2808336 + ... + 2808576.

It is an arithmetic number, because the mean of its divisors is an integer number (15445650).

Almost surely, 2676837896 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 676837896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988521600).

676837896 is an abundant number, since it is smaller than the sum of its proper divisors (1300205304).

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

676837896 is a wasteful number, since it uses less digits than its factorization.

676837896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 676837896 is about 26016.1083946081. The cubic root of 676837896 is about 878.0007541119. Note that the first 3 decimals are identical.

The spelling of 676837896 in words is "six hundred seventy-six million, eight hundred thirty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 229 241 292 438 458 482 511 584 687 723 876 916 964 1022 1374 1446 1533 1603 1687 1752 1832 1928 2044 2748 2892 3066 3206 3374 4088 4809 5061 5496 5784 6132 6412 6748 9618 10122 12264 12824 13496 16717 17593 19236 20244 33434 35186 38472 40488 50151 52779 55189 66868 70372 100302 105558 110378 117019 123151 133736 140744 165567 200604 211116 220756 234038 246302 331134 351057 369453 386323 401208 422232 441512 468076 492604 662268 702114 738906 772646 936152 985208 1158969 1324536 1404228 1477812 1545292 2317938 2808456 2955624 3090584 4028797 4635876 8057594 9271752 12086391 16115188 24172782 28201579 32230376 48345564 56403158 84604737 96691128 112806316 169209474 225612632 338418948 676837896