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816693248 = 21477121
BaseRepresentation
bin110000101011011…
…100000000000000
32002220202022112002
4300223130000000
53133033140443
6213012323132
726144530610
oct6053340000
92086668462
10816693248
1138a0027a8
121a96134a8
13100279157
147a672a40
154ba732b8
hex30adc000

816693248 has 60 divisors (see below), whose sum is σ = 1866932592. Its totient is φ = 349962240.

The previous prime is 816693173. The next prime is 816693253. The reversal of 816693248 is 842396618.

It is a super-2 number, since 2×8166932482 = 1333975722657579008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111128 + ... + 118248.

Almost surely, 2816693248 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 816693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933466296).

816693248 is an abundant number, since it is smaller than the sum of its proper divisors (1050239344).

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

816693248 is an frugal number, since it uses more digits than its factorization.

816693248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7130 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 816693248 is about 28577.8454051386. The cubic root of 816693248 is about 934.7303016927.

The spelling of 816693248 in words is "eight hundred sixteen million, six hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7121 7168 8192 14242 14336 16384 28484 28672 49847 56968 57344 99694 113936 114688 199388 227872 398776 455744 797552 911488 1595104 1822976 3190208 3645952 6380416 7291904 12760832 14583808 25521664 29167616 51043328 58335232 102086656 116670464 204173312 408346624 816693248