Search a number
-
+
461545764 = 223613371871
BaseRepresentation
bin11011100000101…
…010000100100100
31012011110221202120
4123200222010210
51421123431024
6113444305540
714303034321
oct3340520444
91164427676
10461545764
11217592189
1210a6a22b0
1374810004
1445425b48
152a7be479
hex1b82a124

461545764 has 48 divisors (see below), whose sum is σ = 1098429696. Its totient is φ = 150796800.

The previous prime is 461545757. The next prime is 461545771. The reversal of 461545764 is 467545164.

It is an interprime number because it is at equal distance from previous prime (461545757) and next prime (461545771).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245749 + ... + 247619.

It is an arithmetic number, because the mean of its divisors is an integer number (22883952).

Almost surely, 2461545764 is an apocalyptic number.

It is an amenable number.

461545764 is an abundant number, since it is smaller than the sum of its proper divisors (636883932).

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

461545764 is a wasteful number, since it uses less digits than its factorization.

461545764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2274 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 461545764 is about 21483.6161760538. The cubic root of 461545764 is about 772.8079655206.

The spelling of 461545764 in words is "four hundred sixty-one million, five hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 61 122 183 244 337 366 674 732 1011 1348 1871 2022 3742 4044 5613 7484 11226 20557 22452 41114 61671 82228 114131 123342 228262 246684 342393 456524 630527 684786 1261054 1369572 1891581 2522108 3783162 7566324 38462147 76924294 115386441 153848588 230772882 461545764