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487872 = 26327112
BaseRepresentation
bin1110111000111000000
3220210020100
41313013000
5111102442
614242400
74101240
oct1670700
9823210
10487872
11303600
121b6400
131410a8
14c9b20
159984c
hex771c0

487872 has 126 divisors (see below), whose sum is σ = 1756664. Its totient is φ = 126720.

The previous prime is 487843. The next prime is 487873. The reversal of 487872 is 278784.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487873) by changing a digit.

487872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44347 + ... + 44357.

487872 is a Friedman number, since it can be written as 847*72*8, using all its digits and the basic arithmetic operations.

2487872 is an apocalyptic number.

487872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878332).

487872 is an abundant number, since it is smaller than the sum of its proper divisors (1268792).

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

487872 is a wasteful number, since it uses less digits than its factorization.

487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 487872 is about 698.4783461211. The cubic root of 487872 is about 78.7230595678.

It can be divided in two parts, 4878 and 72, that added together give a triangular number (4950 = T99).

The spelling of 487872 in words is "four hundred eighty-seven thousand, eight hundred seventy-two".