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866803968 = 28322912973
BaseRepresentation
bin110011101010100…
…110000100000000
32020102001012111200
4303222212010000
53233400211333
6222002341200
730323466162
oct6352460400
92212035450
10866803968
11405319718
1220235a800
1310a772a74
1483198932
1551170c13
hex33aa6100

866803968 has 108 divisors (see below), whose sum is σ = 2585588460. Its totient is φ = 278949888.

The previous prime is 866803913. The next prime is 866804011. The reversal of 866803968 is 869308668.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 712249344 = 12432^2 + 26688^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60330 + ... + 73302.

Almost surely, 2866803968 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 866803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292794230).

866803968 is an abundant number, since it is smaller than the sum of its proper divisors (1718784492).

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

866803968 is a wasteful number, since it uses less digits than its factorization.

866803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 866803968 is about 29441.5347426047. The cubic root of 866803968 is about 953.4698477085.

The spelling of 866803968 in words is "eight hundred sixty-six million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 12973 16704 22272 25946 33408 38919 51892 66816 77838 103784 116757 155676 207568 233514 311352 376217 415136 467028 622704 752434 830272 934056 1128651 1245408 1504868 1660544 1868112 2257302 2490816 3009736 3321088 3385953 3736224 4514604 4981632 6019472 6771906 7472448 9029208 9963264 12038944 13543812 14944896 18058416 24077888 27087624 29889792 36116832 48155776 54175248 72233664 96311552 108350496 144467328 216700992 288934656 433401984 866803968