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82488 = 2337491
BaseRepresentation
bin10100001000111000
311012011010
4110020320
510114423
61433520
7462330
oct241070
9135133
1082488
1156a7a
123b8a0
132b713
14220c0
1519693
hex14238

82488 has 32 divisors (see below), whose sum is σ = 236160. Its totient is φ = 23520.

The previous prime is 82487. The next prime is 82493. The reversal of 82488 is 88428.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 (82483) 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, 78 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

282488 is an apocalyptic number.

It is an amenable number.

82488 is an abundant number, since it is smaller than the sum of its proper divisors (153672).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118080).

82488 is a wasteful number, since it uses less digits than its factorization.

82488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 82488 is about 287.2072422485. The cubic root of 82488 is about 43.5308276656.

It can be divided in two parts, 8248 and 8, that added together give a triangular number (8256 = T128).

The spelling of 82488 in words is "eighty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 491 982 1473 1964 2946 3437 3928 5892 6874 10311 11784 13748 20622 27496 41244 82488