Search a number
-
+
486647616 = 263721323173
BaseRepresentation
bin11101000000011…
…010011101000000
31020220201021000210
4131000122131000
51444040210431
6120142314120
715026302500
oct3500323500
91226637023
10486647616
1122a777614
12116b88940
1379a8b690
14488bba00
152cacbd46
hex1d01a740

486647616 has 336 divisors, whose sum is σ = 1692883584. Its totient is φ = 122056704.

The previous prime is 486647611. The next prime is 486647621. The reversal of 486647616 is 616746684.

It is an interprime number because it is at equal distance from previous prime (486647611) and next prime (486647621).

It is a tau number, because it is divible by the number of its divisors (336).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486647611) 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 47 ways as a sum of consecutive naturals, for example, 2812906 + ... + 2813078.

It is an arithmetic number, because the mean of its divisors is an integer number (5038344).

Almost surely, 2486647616 is an apocalyptic number.

486647616 is a gapful number since it is divisible by the number (46) 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 486647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846441792).

486647616 is an abundant number, since it is smaller than the sum of its proper divisors (1206235968).

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

486647616 is a wasteful number, since it uses less digits than its factorization.

486647616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 486647616 is about 22060.0910242909. The cubic root of 486647616 is about 786.5714883732.

It can be divided in two parts, 48664 and 7616, that added together give a triangular number (56280 = T335).

The spelling of 486647616 in words is "four hundred eighty-six million, six hundred forty-seven thousand, six hundred sixteen".