Search a number
-
+
486011232 = 253371729163
BaseRepresentation
bin11100111101111…
…111000101100000
31020212111221002000
4130331333011200
51443404324412
6120120524000
715021012240
oct3475770540
91225457060
10486011232
1122a382483
12116920600
13798c7b15
1448793b20
152ca034dc
hex1cf7f160

486011232 has 384 divisors, whose sum is σ = 1785369600. Its totient is φ = 125411328.

The previous prime is 486011221. The next prime is 486011237. The reversal of 486011232 is 232110684.

486011232 is a `hidden beast` number, since 48 + 601 + 12 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 486011196 and 486011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486011237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2981583 + ... + 2981745.

It is an arithmetic number, because the mean of its divisors is an integer number (4649400).

Almost surely, 2486011232 is an apocalyptic number.

486011232 is a gapful number since it is divisible by the number (42) 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 486011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892684800).

486011232 is an abundant number, since it is smaller than the sum of its proper divisors (1299358368).

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

486011232 is a wasteful number, since it uses less digits than its factorization.

486011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 486011232 is about 22045.6624305100. The cubic root of 486011232 is about 786.2284750406.

The spelling of 486011232 in words is "four hundred eighty-six million, eleven thousand, two hundred thirty-two".