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487944 = 2335251
BaseRepresentation
bin1110111001000001000
3220210100000
41313020020
5111103234
614243000
74101402
oct1671010
9823300
10487944
11303666
121b6460
13141132
14c9b72
1599899
hex77208

487944 has 48 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 162000.

The previous prime is 487943. The next prime is 487973. The reversal of 487944 is 449784.

487944 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32256) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 487899 and 487908.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 487944.

It is not an unprimeable number, because it can be changed into a prime (487943) 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, 1819 + ... + 2069.

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

2487944 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 487944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

487944 is an abundant number, since it is smaller than the sum of its proper divisors (887976).

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

487944 is a wasteful number, since it uses less digits than its factorization.

487944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 487944 is about 698.5298848296. The cubic root of 487944 is about 78.7269320189.

It can be divided in two parts, 487 and 944, that added together give a triangular number (1431 = T53).

The spelling of 487944 in words is "four hundred eighty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 251 324 486 502 648 753 972 1004 1506 1944 2008 2259 3012 4518 6024 6777 9036 13554 18072 20331 27108 40662 54216 60993 81324 121986 162648 243972 487944