Search a number
-
+
486027168 = 253112320011
BaseRepresentation
bin11100111110000…
…010111110100000
31020212112201221020
4130332002332200
51443410332133
6120121125440
715021106554
oct3476027640
91225481836
10486027168
1122a393450
12116929880
1379902153
1448799864
152ca080b3
hex1cf82fa0

486027168 has 96 divisors (see below), whose sum is σ = 1452390912. Its totient is φ = 140870400.

The previous prime is 486027149. The next prime is 486027169. The reversal of 486027168 is 861720684.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (486027169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14283 + ... + 34293.

It is an arithmetic number, because the mean of its divisors is an integer number (15129072).

Almost surely, 2486027168 is an apocalyptic number.

486027168 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 486027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726195456).

486027168 is an abundant number, since it is smaller than the sum of its proper divisors (966363744).

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

486027168 is a wasteful number, since it uses less digits than its factorization.

486027168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20058 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 486027168 is about 22046.0238591906. The cubic root of 486027168 is about 786.2370682576.

The spelling of 486027168 in words is "four hundred eighty-six million, twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 20011 24288 40022 60033 80044 120066 160088 220121 240132 320176 440242 460253 480264 640352 660363 880484 920506 960528 1320726 1380759 1760968 1841012 1921056 2641452 2761518 3521936 3682024 5062783 5282904 5523036 7043872 7364048 10125566 10565808 11046072 14728096 15188349 20251132 21131616 22092144 30376698 40502264 44184288 60753396 81004528 121506792 162009056 243013584 486027168