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486349248 = 26371167491
BaseRepresentation
bin11100111111010…
…001100111000000
31020220011002202010
4130333101213000
51444001133443
6120132052520
715023620560
oct3477214700
91226132663
10486349248
1122a593430
12116a64140
13799b5928
1448840da0
152ca6d733
hex1cfd19c0

486349248 has 224 divisors, whose sum is σ = 1631582208. Its totient is φ = 124185600.

The previous prime is 486349231. The next prime is 486349273. The reversal of 486349248 is 842943684.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 486349197 and 486349206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990283 + ... + 990773.

Almost surely, 2486349248 is an apocalyptic number.

486349248 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 486349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815791104).

486349248 is an abundant number, since it is smaller than the sum of its proper divisors (1145232960).

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

486349248 is a wasteful number, since it uses less digits than its factorization.

486349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 486349248 is about 22053.3273679960. The cubic root of 486349248 is about 786.4107041743.

The spelling of 486349248 in words is "four hundred eighty-six million, three hundred forty-nine thousand, two hundred forty-eight".