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73488 = 2431531
BaseRepresentation
bin10001111100010000
310201210210
4101330100
54322423
61324120
7424152
oct217420
9121723
1073488
1150238
1236640
13275ac
141cad2
1516b93
hex11f10

73488 has 20 divisors (see below), whose sum is σ = 189968. Its totient is φ = 24480.

The previous prime is 73483. The next prime is 73517. The reversal of 73488 is 88437.

It is a super-2 number, since 2×734882 = 10800972288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73483) by changing a digit.

73488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 718 + ... + 813.

273488 is an apocalyptic number.

It is an amenable number.

73488 is an abundant number, since it is smaller than the sum of its proper divisors (116480).

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 (94984).

73488 is a wasteful number, since it uses less digits than its factorization.

73488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1536 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 73488 is about 271.0867019977. The cubic root of 73488 is about 41.8863138658.

It can be divided in two parts, 73 and 488, that added together give a triangular number (561 = T33).

The spelling of 73488 in words is "seventy-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1531 3062 4593 6124 9186 12248 18372 24496 36744 73488