Search a number
-
+
96454912 = 28537109
BaseRepresentation
bin1011011111111…
…00100100000000
320201111102021011
411233330210000
5144143024122
613323210304
72250565441
oct557744400
9221442234
1096454912
114a4a0004
1228376994
1316ca2018
14cb4b2c8
158704377
hex5bfc900

96454912 has 36 divisors (see below), whose sum is σ = 196193340. Its totient is φ = 47310848.

The previous prime is 96454867. The next prime is 96454913. The reversal of 96454912 is 21945469.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 56310016 = 6336^2 + 7504^2 .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (96454913) 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 3 ways as a sum of consecutive naturals, for example, 10014 + ... + 17122.

It is an arithmetic number, because the mean of its divisors is an integer number (5449815).

Almost surely, 296454912 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 96454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98096670).

96454912 is an abundant number, since it is smaller than the sum of its proper divisors (99738428).

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

96454912 is an equidigital number, since it uses as much as digits as its factorization.

96454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7164 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 96454912 is about 9821.1461652905. The cubic root of 96454912 is about 458.6078134931.

The spelling of 96454912 in words is "ninety-six million, four hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 7109 13568 14218 28436 56872 113744 227488 376777 454976 753554 909952 1507108 1819904 3014216 6028432 12056864 24113728 48227456 96454912