Search a number
-
+
96788769 = 3731117503
BaseRepresentation
bin1011100010011…
…10000100100001
320202010101020020
411301032010201
5144234220034
613334304053
72253456000
oct561160441
9222111206
1096788769
114a6a8920
12284b8029
131708ac7c
14cbd6c37
15876d249
hex5c4e121

96788769 has 64 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 47228160.

The previous prime is 96788767. The next prime is 96788771.

96788769 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (96788767) and next prime (96788771).

It is not a de Polignac number, because 96788769 - 21 = 96788767 is a prime.

It is a super-2 number, since 2×967887692 = 18736131609070722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96788767) 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 63 ways as a sum of consecutive naturals, for example, 192172 + ... + 192674.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 296788769 is an apocalyptic number.

It is an amenable number.

96788769 is a deficient number, since it is larger than the sum of its proper divisors (77393631).

96788769 is a wasteful number, since it uses less digits than its factorization.

96788769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The square root of 96788769 is about 9838.1283280917. The cubic root of 96788769 is about 459.1363268099.

The spelling of 96788769 in words is "ninety-six million, seven hundred eighty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 7 11 17 21 33 49 51 77 119 147 187 231 343 357 503 539 561 833 1029 1309 1509 1617 2499 3521 3773 3927 5533 5831 8551 9163 10563 11319 16599 17493 24647 25653 27489 38731 59857 64141 73941 94061 116193 172529 179571 192423 271117 282183 418999 517587 658427 813351 1256997 1897819 1975281 2932993 4608989 5693457 8798979 13826967 32262923 96788769