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84696768 = 26321311311
BaseRepresentation
bin1010000110001…
…01111011000000
312220101001010100
411003011323000
5133140244033
612223202400
72045624232
oct503057300
9186331110
1084696768
1143899a32
1224446400
1314716140
14b36a252
157680513
hex50c5ec0

84696768 has 84 divisors (see below), whose sum is σ = 261465568. Its totient is φ = 26058240.

The previous prime is 84696763. The next prime is 84696779. The reversal of 84696768 is 86769648.

It is not an unprimeable number, because it can be changed into a prime (84696763) by changing a digit.

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, 1833 + ... + 13143.

Almost surely, 284696768 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 84696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130732784).

84696768 is an abundant number, since it is smaller than the sum of its proper divisors (176768800).

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

84696768 is a wasteful number, since it uses less digits than its factorization.

84696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11329 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 84696768 is about 9203.0847002513. The cubic root of 84696768 is about 439.1594973947.

The spelling of 84696768 in words is "eighty-four million, six hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 11311 22622 33933 45244 67866 90488 101799 135732 147043 180976 203598 271464 294086 361952 407196 441129 542928 588172 723904 814392 882258 1085856 1176344 1323387 1628784 1764516 2171712 2352688 2646774 3257568 3529032 4705376 5293548 6515136 7058064 9410752 10587096 14116128 21174192 28232256 42348384 84696768