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487936 = 29953
BaseRepresentation
bin1110111001000000000
3220210022201
41313020000
5111103221
614242544
74101361
oct1671000
9823281
10487936
11303659
121b6454
13141127
14c9b68
1599891
hex77200

487936 has 20 divisors (see below), whose sum is σ = 975942. Its totient is φ = 243712.

The previous prime is 487933. The next prime is 487943. The reversal of 487936 is 639784.

It can be written as a sum of positive squares in only one way, i.e., 430336 + 57600 = 656^2 + 240^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 487895 and 487904.

It is not an unprimeable number, because it can be changed into a prime (487933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36 + ... + 988.

487936 is a Friedman number, since it can be written as 8^3*(946+7), using all its digits and the basic arithmetic operations.

2487936 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 487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487971).

487936 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

487936 is an frugal number, since it uses more digits than its factorization.

487936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 955 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 487936 is about 698.5241584942. The cubic root of 487936 is about 78.7265017654.

The spelling of 487936 in words is "four hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 953 1906 3812 7624 15248 30496 60992 121984 243968 487936