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486997056 = 263371319163
BaseRepresentation
bin11101000001101…
…111110001000000
31020221101000101000
4131001233301000
51444132401211
6120154012000
715032256330
oct3501576100
91227330330
10486997056
1122a996107
12117117000
1379b81750
144896d0c0
152cb4a656
hex1d06fc40

486997056 has 448 divisors, whose sum is σ = 1866188800. Its totient is φ = 120932352.

The previous prime is 486997039. The next prime is 486997061. The reversal of 486997056 is 650799684.

486997056 is a `hidden beast` number, since 486 + 99 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4869970562 = 474332265105334272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 486996993 and 486997011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2987631 + ... + 2987793.

It is an arithmetic number, because the mean of its divisors is an integer number (4165600).

Almost surely, 2486997056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933094400).

486997056 is an abundant number, since it is smaller than the sum of its proper divisors (1379191744).

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

486997056 is a wasteful number, since it uses less digits than its factorization.

486997056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 486997056 is about 22068.0097879261. The cubic root of 486997056 is about 786.7597106583.

It can be divided in two parts, 48699 and 7056, that added together give a palindrome (55755).

The spelling of 486997056 in words is "four hundred eighty-six million, nine hundred ninety-seven thousand, fifty-six".