Search a number
-
+
65455146 = 23229373389
BaseRepresentation
bin1111100110110…
…0010000101010
311120011110120200
43321230100222
5113224031041
610254533030
71423234221
oct371542052
9146143520
1065455146
1133a47469
1219b07176
1310739c73
14899bcb8
155b2e1b6
hex3e6c42a

65455146 has 48 divisors (see below), whose sum is σ = 150719400. Its totient is φ = 20490624.

The previous prime is 65455129. The next prime is 65455193. The reversal of 65455146 is 64155456.

65455146 is a `hidden beast` number, since 65 + 4 + 551 + 46 = 666.

65455146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63920025 + 1535121 = 7995^2 + 1239^2 .

It is a super-2 number, since 2×654551462 = 8568752275762632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65455146.

It is an unprimeable number.

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, 17620 + ... + 21008.

Almost surely, 265455146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65455146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75359700).

65455146 is an abundant number, since it is smaller than the sum of its proper divisors (85264254).

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

65455146 is a wasteful number, since it uses less digits than its factorization.

65455146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3460 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 65455146 is about 8090.4354641762. The cubic root of 65455146 is about 403.0088642563.

The spelling of 65455146 in words is "sixty-five million, four hundred fifty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 3389 6438 6778 9657 10167 19314 20334 30501 61002 98281 125393 196562 250786 294843 376179 589686 752358 884529 1128537 1769058 2257074 3636397 7272794 10909191 21818382 32727573 65455146