Search a number
-
+
96249996 = 22324397641
BaseRepresentation
bin1011011110010…
…10100010001100
320201010000011200
411233022202030
5144114444441
613314545500
72246053143
oct557124214
9221100150
1096249996
114a370057
1228298290
1316c2c97b
14cad675a
1586b37b6
hex5bca88c

96249996 has 72 divisors (see below), whose sum is σ = 251915664. Its totient is φ = 30965760.

The previous prime is 96249973. The next prime is 96249997. The reversal of 96249996 is 69994269.

96249996 is a `hidden beast` number, since 9 + 62 + 499 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96249997) 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 23 ways as a sum of consecutive naturals, for example, 149836 + ... + 150476.

Almost surely, 296249996 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 96249996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125957832).

96249996 is an abundant number, since it is smaller than the sum of its proper divisors (155665668).

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

96249996 is a wasteful number, since it uses less digits than its factorization.

96249996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 96249996 is about 9810.7082313154. The cubic root of 96249996 is about 458.2828163680.

The spelling of 96249996 in words is "ninety-six million, two hundred forty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 97 129 172 194 258 291 387 388 516 582 641 774 873 1164 1282 1548 1746 1923 2564 3492 3846 4171 5769 7692 8342 11538 12513 16684 23076 25026 27563 37539 50052 55126 62177 75078 82689 110252 124354 150156 165378 186531 248067 248708 330756 373062 496134 559593 746124 992268 1119186 2238372 2673611 5347222 8020833 10694444 16041666 24062499 32083332 48124998 96249996