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805250304 = 2832373937
BaseRepresentation
bin101111111111110…
…010010100000000
32002010012221202100
4233333302110000
53122121002204
6211523150400
725645341345
oct5777622400
92063187670
10805250304
113835a7521
121a5815400
13caaa0891
1478d347cc
154aa62a39
hex2fff2500

805250304 has 108 divisors (see below), whose sum is σ = 2330444116. Its totient is φ = 267411456.

The previous prime is 805250297. The next prime is 805250353. The reversal of 805250304 is 403052508.

It can be written as a sum of positive squares in 2 ways, for example, as 205979904 + 599270400 = 14352^2 + 24480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858924 + ... + 859860.

Almost surely, 2805250304 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 805250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165222058).

805250304 is an abundant number, since it is smaller than the sum of its proper divisors (1525193812).

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

805250304 is a wasteful number, since it uses less digits than its factorization.

805250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 805250304 is about 28376.9326037893. The cubic root of 805250304 is about 930.3441528918.

The spelling of 805250304 in words is "eight hundred five million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 373 384 576 746 768 937 1119 1152 1492 1874 2238 2304 2811 2984 3357 3748 4476 5622 5968 6714 7496 8433 8952 11244 11936 13428 14992 16866 17904 22488 23872 26856 29984 33732 35808 44976 47744 53712 59968 67464 71616 89952 95488 107424 119936 134928 143232 179904 214848 239872 269856 286464 349501 359808 429696 539712 699002 719616 859392 1048503 1079424 1398004 2097006 2158848 2796008 3145509 4194012 5592016 6291018 8388024 11184032 12582036 16776048 22368064 25164072 33552096 44736128 50328144 67104192 89472256 100656288 134208384 201312576 268416768 402625152 805250304