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487500 = 2235513
BaseRepresentation
bin1110111000001001100
3220202201120
41313001030
5111100000
614240540
74100166
oct1670114
9822646
10487500
113032a2
121b6150
13140b80
14c9936
15996a0
hex7704c

487500 has 72 divisors (see below), whose sum is σ = 1531152. Its totient is φ = 120000.

The previous prime is 487489. The next prime is 487507. The reversal of 487500 is 5784.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 487500.

It is not an unprimeable number, because it can be changed into a prime (487507) 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, 37494 + ... + 37506.

It is an arithmetic number, because the mean of its divisors is an integer number (21266).

487500 is a Friedman number, since it can be written as 780*5^(4+0), using all its digits and the basic arithmetic operations.

2487500 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 487500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576).

487500 is an abundant number, since it is smaller than the sum of its proper divisors (1043652).

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

487500 is a wasteful number, since it uses less digits than its factorization.

487500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 487500 is about 698.2120021884. The cubic root of 487500 is about 78.7030458316.

It can be divided in two parts, 48 and 7500, that multiplied together give a square (360000 = 6002).

The spelling of 487500 in words is "four hundred eighty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 625 650 750 780 975 1250 1300 1500 1625 1875 1950 2500 3125 3250 3750 3900 4875 6250 6500 7500 8125 9375 9750 12500 16250 18750 19500 24375 32500 37500 40625 48750 81250 97500 121875 162500 243750 487500