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810399768 = 23331241857
BaseRepresentation
bin110000010011011…
…011100000011000
32002110220120111020
4300103123200120
53124430243033
6212225402440
726040166353
oct6023334030
92073816436
10810399768
113864a4382
121a7499420
13cbb846b9
14798b529a
154b22d6b3
hex304db818

810399768 has 96 divisors (see below), whose sum is σ = 2147024880. Its totient is φ = 254745600.

The previous prime is 810399763. The next prime is 810399781. The reversal of 810399768 is 867993018.

It is a self number, because there is not a number n which added to its sum of digits gives 810399768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810399763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945196 + ... + 946052.

Almost surely, 2810399768 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 810399768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073512440).

810399768 is an abundant number, since it is smaller than the sum of its proper divisors (1336625112).

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

810399768 is a wasteful number, since it uses less digits than its factorization.

810399768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 810399768 is about 28467.5212830341. The cubic root of 810399768 is about 932.3230811474.

The spelling of 810399768 in words is "eight hundred ten million, three hundred ninety-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 744 857 961 984 1271 1714 1922 2542 2571 2883 3428 3813 3844 5084 5142 5766 6856 7626 7688 10168 10284 11532 15252 20568 23064 26567 30504 35137 39401 53134 70274 78802 79701 105411 106268 118203 140548 157604 159402 210822 212536 236406 281096 315208 318804 421644 472812 637608 823577 843288 945624 1089247 1647154 2178494 2470731 3267741 3294308 4356988 4941462 6535482 6588616 8713976 9882924 13070964 19765848 26141928 33766657 67533314 101299971 135066628 202599942 270133256 405199884 810399768