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96216481 = 1725772
BaseRepresentation
bin1011011110000…
…10010110100001
320201001022012101
411233002112201
5144112411411
613314130401
72245553344
oct557022641
9221038171
1096216481
114a347959
1228280a01
1316c1a63a
14cac845b
1586a88c1
hex5bc25a1

96216481 has 9 divisors (see below), whose sum is σ = 102386649. Its totient is φ = 90399744.

The previous prime is 96216457. The next prime is 96216503. The reversal of 96216481 is 18461269.

It is a happy number.

The square root of 96216481 is 9809.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67914081 + 28302400 = 8241^2 + 5320^2 .

It is not a de Polignac number, because 96216481 - 225 = 62662049 is a prime.

It is a super-2 number, since 2×962164812 = 18515222432046722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96216481.

It is not an unprimeable number, because it can be changed into a prime (96216451) 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 8 ways as a sum of consecutive naturals, for example, 166465 + ... + 167041.

Almost surely, 296216481 is an apocalyptic number.

96216481 is the 9809-th square number.

96216481 is the 4905-th centered octagonal number.

It is an amenable number.

96216481 is a deficient number, since it is larger than the sum of its proper divisors (6170168).

96216481 is an frugal number, since it uses more digits than its factorization.

96216481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The cubic root of 96216481 is about 458.2296176413.

Multiplying 96216481 by its product of digits (20736), we get a square (1995144950016 = 14124962).

The spelling of 96216481 in words is "ninety-six million, two hundred sixteen thousand, four hundred eighty-one".

Divisors: 1 17 289 577 9809 166753 332929 5659793 96216481