Search a number
-
+
484754688 = 28321131617
BaseRepresentation
bin11100111001001…
…100010100000000
31020210011002102100
4130321030110000
51443044122223
6120033550400
715004226655
oct3471142400
91223132370
10484754688
112296a4410
12116415400
1379577bc2
1448547c2c
152c856043
hex1ce4c500

484754688 has 216 divisors, whose sum is σ = 1576463616. Its totient is φ = 141926400.

The previous prime is 484754671. The next prime is 484754689. The reversal of 484754688 is 886457484.

It is a super-3 number, since 3×4847546883 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484754689) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 785356 + ... + 785972.

Almost surely, 2484754688 is an apocalyptic number.

484754688 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 484754688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788231808).

484754688 is an abundant number, since it is smaller than the sum of its proper divisors (1091708928).

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

484754688 is a wasteful number, since it uses less digits than its factorization.

484754688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 484754688 is about 22017.1453190462. The cubic root of 484754688 is about 785.5503128647.

The spelling of 484754688 in words is "four hundred eighty-four million, seven hundred fifty-four thousand, six hundred eighty-eight".