Search a number
-
+
96685488 = 2434611223
BaseRepresentation
bin1011100001101…
…00110110110000
320201221010120000
411300310312300
5144222413423
613332150000
72252545614
oct560646660
9221833500
1096685488
114a638269
1228468300
1317052c63
14cbab344
15874c843
hex5c34db0

96685488 has 100 divisors (see below), whose sum is σ = 284655888. Its totient is φ = 31674240.

The previous prime is 96685487. The next prime is 96685499. The reversal of 96685488 is 88458669.

It is a happy number.

96685488 is a `hidden beast` number, since 96 + 6 + 8 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (96685487) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 78445 + ... + 79667.

Almost surely, 296685488 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 96685488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142327944).

96685488 is an abundant number, since it is smaller than the sum of its proper divisors (187970400).

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

96685488 is a wasteful number, since it uses less digits than its factorization.

96685488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 96685488 is about 9832.8779103577. The cubic root of 96685488 is about 458.9729575251.

It can be divided in two parts, 96 and 685488, that added together give a square (685584 = 8282).

The spelling of 96685488 in words is "ninety-six million, six hundred eighty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1223 1296 1464 1647 2196 2446 2928 3294 3669 4392 4892 4941 6588 7338 8784 9784 9882 11007 13176 14676 19568 19764 22014 26352 29352 33021 39528 44028 58704 66042 74603 79056 88056 99063 132084 149206 176112 198126 223809 264168 298412 396252 447618 528336 596824 671427 792504 895236 1193648 1342854 1585008 1790472 2014281 2685708 3580944 4028562 5371416 6042843 8057124 10742832 12085686 16114248 24171372 32228496 48342744 96685488