Search a number
-
+
486504 = 233229233
BaseRepresentation
bin1110110110001101000
3220201100200
41312301220
5111032004
614232200
74064244
oct1666150
9821320
10486504
11302577
121b5660
13140595
14c9424
1599239
hex76c68

486504 has 48 divisors (see below), whose sum is σ = 1368900. Its totient is φ = 155904.

The previous prime is 486503. The next prime is 486509. The reversal of 486504 is 405684.

486504 is a `hidden beast` number, since 4 + 8 + 650 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 476100 + 10404 = 690^2 + 102^2 .

It is a super-2 number, since 2×4865042 = 473372284032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (486503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1972 + ... + 2204.

2486504 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 486504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684450).

486504 is an abundant number, since it is smaller than the sum of its proper divisors (882396).

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

486504 is a wasteful number, since it uses less digits than its factorization.

486504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 486504 is about 697.4983870949. The cubic root of 486504 is about 78.6494104957.

It can be divided in two parts, 486 and 504, that added together give a triangular number (990 = T44).

The spelling of 486504 in words is "four hundred eighty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 233 261 348 466 522 696 699 932 1044 1398 1864 2088 2097 2796 4194 5592 6757 8388 13514 16776 20271 27028 40542 54056 60813 81084 121626 162168 243252 486504