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681199456 = 25731263373
BaseRepresentation
bin101000100110100…
…100011101100000
31202110210111222111
4220212210131200
52343341340311
6151332245104
722611046150
oct5046443540
91673714874
10681199456
1131a579263
12170170794
13ab188c02
1466682760
153ec0bd21
hex289a4760

681199456 has 96 divisors (see below), whose sum is σ = 1592414208. Its totient is φ = 280696320.

The previous prime is 681199433. The next prime is 681199459. The reversal of 681199456 is 654991186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681199459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826086 + ... + 1826458.

It is an arithmetic number, because the mean of its divisors is an integer number (16587648).

Almost surely, 2681199456 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 681199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796207104).

681199456 is an abundant number, since it is smaller than the sum of its proper divisors (911214752).

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

681199456 is a wasteful number, since it uses less digits than its factorization.

681199456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its digits is 466560, while the sum is 49.

The square root of 681199456 is about 26099.7980068812. The cubic root of 681199456 is about 879.8826703076.

The spelling of 681199456 in words is "six hundred eighty-one million, one hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 263 373 434 496 526 746 868 992 1052 1492 1736 1841 2104 2611 2984 3472 3682 4208 5222 5968 6944 7364 8153 8416 10444 11563 11936 14728 16306 20888 23126 29456 32612 41776 46252 57071 58912 65224 80941 83552 92504 98099 114142 130448 161882 185008 196198 228284 260896 323764 370016 392396 456568 647528 686693 784792 913136 1295056 1373386 1569584 1826272 2590112 2746772 3041069 3139168 5493544 6082138 10987088 12164276 21287483 21974176 24328552 42574966 48657104 85149932 97314208 170299864 340599728 681199456