Search a number
-
+
468045856 = 2537395309
BaseRepresentation
bin11011111001011…
…101000000100000
31012121201012012201
4123321131000200
51424304431411
6114235502544
714412216115
oct3371350040
91177635181
10468045856
11220221863
121108b7a54
1375c77815
144623890c
152b1553c1
hex1be5d020

468045856 has 24 divisors (see below), whose sum is σ = 946372140. Its totient is φ = 227697408.

The previous prime is 468045833. The next prime is 468045857. The reversal of 468045856 is 658540864.

It can be written as a sum of positive squares in 2 ways, for example, as 462938256 + 5107600 = 21516^2 + 2260^2 .

It is not an unprimeable number, because it can be changed into a prime (468045857) 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, 196471 + ... + 198838.

Almost surely, 2468045856 is an apocalyptic number.

It is an amenable number.

468045856 is an abundant number, since it is smaller than the sum of its proper divisors (478326284).

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

468045856 is a wasteful number, since it uses less digits than its factorization.

468045856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395356 (or 395348 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The square root of 468045856 is about 21634.3674739984. The cubic root of 468045856 is about 776.4189646048.

The spelling of 468045856 in words is "four hundred sixty-eight million, forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 395309 790618 1581236 3162472 6324944 12649888 14626433 29252866 58505732 117011464 234022928 468045856