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810199296 = 28325932
BaseRepresentation
bin110000010010101…
…010100100000000
32002110112101111100
4300102222210000
53124402334141
6212221214400
726035403034
oct6022524400
92073471440
10810199296
113863777a5
121a7401400
13cbb1438a
14798621c4
154b1de0b6
hex304aa900

810199296 has 81 divisors (see below), whose sum is σ = 2339950249. Its totient is φ = 269611008.

The previous prime is 810199283. The next prime is 810199321. The reversal of 810199296 is 692991018.

The square root of 810199296 is 28464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 498182400 + 312016896 = 22320^2 + 17664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1365976 + ... + 1366568.

Almost surely, 2810199296 is an apocalyptic number.

810199296 is the 28464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810199296

810199296 is an abundant number, since it is smaller than the sum of its proper divisors (1529750953).

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

810199296 is an frugal number, since it uses more digits than its factorization.

810199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The cubic root of 810199296 is about 932.2461972464.

The spelling of 810199296 in words is "eight hundred ten million, one hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 593 768 1152 1186 1779 2304 2372 3558 4744 5337 7116 9488 10674 14232 18976 21348 28464 37952 42696 56928 75904 85392 113856 151808 170784 227712 341568 351649 455424 683136 703298 1054947 1366272 1406596 2109894 2813192 3164841 4219788 5626384 6329682 8439576 11252768 12659364 16879152 22505536 25318728 33758304 45011072 50637456 67516608 90022144 101274912 135033216 202549824 270066432 405099648 810199296