Search a number
-
+
460064512 = 283748571
BaseRepresentation
bin11011011011000…
…000011100000000
31012001200200212101
4123123000130000
51420234031022
6113352440144
714254324645
oct3333003400
91161620771
10460064512
11216770306
1210a0a9054
1374411a2b
144515bdcc
152a5ca627
hex1b6c0700

460064512 has 36 divisors (see below), whose sum is σ = 943171096. Its totient is φ = 223810560.

The previous prime is 460064491. The next prime is 460064531. The reversal of 460064512 is 215460064.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 14814 + ... + 33757.

Almost surely, 2460064512 is an apocalyptic number.

It is an amenable number.

460064512 is an abundant number, since it is smaller than the sum of its proper divisors (483106584).

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

460064512 is an equidigital number, since it uses as much as digits as its factorization.

460064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48624 (or 48610 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 460064512 is about 21449.1144805561. The cubic root of 460064512 is about 771.9803479655.

The spelling of 460064512 in words is "four hundred sixty million, sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 48571 97142 194284 388568 777136 1554272 1797127 3108544 3594254 6217088 7188508 12434176 14377016 28754032 57508064 115016128 230032256 460064512