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486072 = 233243157
BaseRepresentation
bin1110110101010111000
3220200202200
41312222320
5111023242
614230200
74063056
oct1665270
9820680
10486072
11302214
121b5360
13140322
14c91d6
159904c
hex76ab8

486072 has 48 divisors (see below), whose sum is σ = 1355640. Its totient is φ = 157248.

The previous prime is 486071. The next prime is 486091. The reversal of 486072 is 270684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486071) 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 11 ways as a sum of consecutive naturals, for example, 3018 + ... + 3174.

2486072 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 486072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677820).

486072 is an abundant number, since it is smaller than the sum of its proper divisors (869568).

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

486072 is a wasteful number, since it uses less digits than its factorization.

486072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 486072 is about 697.1886401828. The cubic root of 486072 is about 78.6261242144.

Subtracting from 486072 its product of nonzero digits (2688), we obtain a palindrome (483384).

The spelling of 486072 in words is "four hundred eighty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 157 172 258 314 344 387 471 516 628 774 942 1032 1256 1413 1548 1884 2826 3096 3768 5652 6751 11304 13502 20253 27004 40506 54008 60759 81012 121518 162024 243036 486072