Search a number
-
+
96196864 = 286132
BaseRepresentation
bin1011011101111…
…01100100000000
320201000022021211
411232331210000
5144111244424
613313455504
72245442221
oct556754400
9221008254
1096196864
114a334145
1228271594
1316c1172a
14cac1248
1586a2b94
hex5bbd900

96196864 has 27 divisors (see below), whose sum is σ = 192331713. Its totient is φ = 48019968.

The previous prime is 96196861. The next prime is 96196871. The reversal of 96196864 is 46869169.

The square root of 96196864 is 9808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 95883264 = 560^2 + 9792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96196861) 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 2 ways as a sum of consecutive naturals, for example, 156622 + ... + 157234.

Almost surely, 296196864 is an apocalyptic number.

96196864 is the 9808-th square number.

It is an amenable number.

96196864 is a deficient number, since it is larger than the sum of its proper divisors (96134849).

96196864 is an frugal number, since it uses more digits than its factorization.

96196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 615 counting only the distinct ones).

The product of its digits is 559872, while the sum is 49.

The cubic root of 96196864 is about 458.1984736305.

Multiplying 96196864 by its sum of digits (49), we get a square (4713646336 = 686562).

The spelling of 96196864 in words is "ninety-six million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 613 1226 2452 4904 9808 19616 39232 78464 156928 375769 751538 1503076 3006152 6012304 12024608 24049216 48098432 96196864