Search a number
-
+
484348968 = 23326727069
BaseRepresentation
bin11100110111101…
…001010000101000
31020202101110212200
4130313221100220
51442443131333
6120021140200
715000620055
oct3467512050
91222343780
10484348968
11229447604
1211625a660
137946532c
144848002c
152c7c5c13
hex1cde9428

484348968 has 24 divisors (see below), whose sum is σ = 1311778650. Its totient is φ = 161449632.

The previous prime is 484348961. The next prime is 484348979. The reversal of 484348968 is 869843484.

It can be written as a sum of positive squares in only one way, i.e., 397523844 + 86825124 = 19938^2 + 9318^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (484348961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3363463 + ... + 3363606.

Almost surely, 2484348968 is an apocalyptic number.

It is an amenable number.

484348968 is an abundant number, since it is smaller than the sum of its proper divisors (827429682).

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

484348968 is a wasteful number, since it uses less digits than its factorization.

484348968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727081 (or 6727074 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 484348968 is about 22007.9296618287. The cubic root of 484348968 is about 785.3310937841.

It can be divided in two parts, 484348 and 968, that multiplied together give a palindrome (468848864).

The spelling of 484348968 in words is "four hundred eighty-four million, three hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6727069 13454138 20181207 26908276 40362414 53816552 60543621 80724828 121087242 161449656 242174484 484348968