Search a number
-
+
96647488 = 2672943173
BaseRepresentation
bin1011100001010…
…11100101000000
320201212012102121
411300223211000
5144220204423
613331254024
72252330050
oct560534500
9221765377
1096647488
114a611763
122844a314
131703b882
14cb9b560
15874145d
hex5c2b940

96647488 has 112 divisors (see below), whose sum is σ = 233354880. Its totient is φ = 38836224.

The previous prime is 96647483. The next prime is 96647489. The reversal of 96647488 is 88474669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96647483) 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 15 ways as a sum of consecutive naturals, for example, 558570 + ... + 558742.

Almost surely, 296647488 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 96647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116677440).

96647488 is an abundant number, since it is smaller than the sum of its proper divisors (136707392).

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

96647488 is a wasteful number, since it uses less digits than its factorization.

96647488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 96647488 is about 9830.9454275771. The cubic root of 96647488 is about 458.9128200692.

The spelling of 96647488 in words is "ninety-six million, six hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 43 56 58 64 86 112 116 172 173 203 224 232 301 344 346 406 448 464 602 688 692 812 928 1204 1211 1247 1376 1384 1624 1856 2408 2422 2494 2752 2768 3248 4816 4844 4988 5017 5536 6496 7439 8729 9632 9688 9976 10034 11072 12992 14878 17458 19264 19376 19952 20068 29756 34916 35119 38752 39904 40136 52073 59512 69832 70238 77504 79808 80272 104146 119024 139664 140476 160544 208292 215731 238048 279328 280952 321088 416584 431462 476096 558656 561904 833168 862924 1123808 1510117 1666336 1725848 2247616 3020234 3332672 3451696 6040468 6903392 12080936 13806784 24161872 48323744 96647488