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485472 = 25313389
BaseRepresentation
bin1110110100001100000
3220122221110
41312201200
5111013342
614223320
74061241
oct1664140
9818843
10485472
11301819
121b4b40
1313cc80
14c8cc8
1598c9c
hex76860

485472 has 48 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 148992.

The previous prime is 485447. The next prime is 485479. The reversal of 485472 is 274584.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1054 + ... + 1442.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2485472 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 485472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

485472 is an abundant number, since it is smaller than the sum of its proper divisors (890448).

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

485472 is a wasteful number, since it uses less digits than its factorization.

485472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 485472 is about 696.7582077019. The cubic root of 485472 is about 78.5937592569.

The spelling of 485472 in words is "four hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 389 416 624 778 1167 1248 1556 2334 3112 4668 5057 6224 9336 10114 12448 15171 18672 20228 30342 37344 40456 60684 80912 121368 161824 242736 485472