Search a number
-
+
96366688 = 25112311903
BaseRepresentation
bin1011011111001…
…11000001100000
320201022221020121
411233213001200
5144132213223
613321250024
72250050305
oct557470140
9221287217
1096366688
114a43a7a0
1228333914
1316c70b12
14cb270ac
1586d815d
hex5be7060

96366688 has 48 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 41895040.

The previous prime is 96366679. The next prime is 96366719. The reversal of 96366688 is 88666369.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2145 + ... + 14047.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 296366688 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 96366688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

96366688 is an abundant number, since it is smaller than the sum of its proper divisors (119619488).

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

96366688 is a wasteful number, since it uses less digits than its factorization.

96366688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947 (or 11939 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 96366688 is about 9816.6536049715. The cubic root of 96366688 is about 458.4679465610.

The spelling of 96366688 in words is "ninety-six million, three hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 11903 23806 47612 95224 130933 190448 261866 273769 380896 523732 547538 1047464 1095076 2094928 2190152 3011459 4189856 4380304 6022918 8760608 12045836 24091672 48183344 96366688