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485604 = 223274147
BaseRepresentation
bin1110110100011100100
3220200010100
41312203210
5111014404
614224100
74061520
oct1664344
9820110
10485604
11301929
121b5030
13140052
14c8d80
1598d39
hex768e4

485604 has 72 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 132480.

The previous prime is 485603. The next prime is 485609. The reversal of 485604 is 406584.

485604 = T176 + T177 + ... + T202.

It is a super-2 number, since 2×4856042 = 471622489632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (485603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10309 + ... + 10355.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2485604 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 485604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

485604 is an abundant number, since it is smaller than the sum of its proper divisors (982044).

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

485604 is a wasteful number, since it uses less digits than its factorization.

485604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

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

The square root of 485604 is about 696.8529256594. The cubic root of 485604 is about 78.6008818346.

It can be divided in two parts, 485 and 604, that added together give a square (1089 = 332).

The spelling of 485604 in words is "four hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 47 63 82 84 94 123 126 141 164 188 246 252 282 287 329 369 423 492 564 574 658 738 846 861 987 1148 1316 1476 1692 1722 1927 1974 2583 2961 3444 3854 3948 5166 5781 5922 7708 10332 11562 11844 13489 17343 23124 26978 34686 40467 53956 69372 80934 121401 161868 242802 485604