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676940576 = 251310914929
BaseRepresentation
bin101000010110010…
…100101100100000
31202011210010220012
4220112110230200
52341244044301
6151101104052
722526620454
oct5026245440
91664703805
10676940576
1131812a524
1216a858028
13aa327570
1465c94664
153e669ebb
hex28594b20

676940576 has 48 divisors (see below), whose sum is σ = 1448508600. Its totient is φ = 309547008.

The previous prime is 676940573. The next prime is 676940581. The reversal of 676940576 is 675049676.

It can be written as a sum of positive squares in 4 ways, for example, as 624000400 + 52940176 = 24980^2 + 7276^2 .

It is not an unprimeable number, because it can be changed into a prime (676940573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37880 + ... + 52808.

Almost surely, 2676940576 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 676940576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724254300).

676940576 is an abundant number, since it is smaller than the sum of its proper divisors (771568024).

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

676940576 is a wasteful number, since it uses less digits than its factorization.

676940576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15061 (or 15053 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The square root of 676940576 is about 26018.0817125322. The cubic root of 676940576 is about 878.0451510345.

The spelling of 676940576 in words is "six hundred seventy-six million, nine hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3488 5668 11336 14929 22672 29858 45344 59716 119432 194077 238864 388154 477728 776308 1552616 1627261 3105232 3254522 6210464 6509044 13018088 21154393 26036176 42308786 52072352 84617572 169235144 338470288 676940576