Search a number
-
+
474743808 = 21033711223
BaseRepresentation
bin11100010011000…
…000010000000000
31020002022111002000
4130103000100000
51433013300213
6115035224000
714523153510
oct3423002000
91202274060
10474743808
11223a87060
12112ba8000
13774813c6
144709d840
152ba29c73
hex1c4c0400

474743808 has 352 divisors, whose sum is σ = 1760747520. Its totient is φ = 122757120.

The previous prime is 474743807. The next prime is 474743813. The reversal of 474743808 is 808347474.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (474743803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128785 + ... + 2129007.

Almost surely, 2474743808 is an apocalyptic number.

474743808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474743808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880373760).

474743808 is an abundant number, since it is smaller than the sum of its proper divisors (1286003712).

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

474743808 is a wasteful number, since it uses less digits than its factorization.

474743808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 474743808 is about 21788.6164774177. The cubic root of 474743808 is about 780.1050746021.

The spelling of 474743808 in words is "four hundred seventy-four million, seven hundred forty-three thousand, eight hundred eight".