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232488 = 23323229
BaseRepresentation
bin111000110000101000
3102210220200
4320300220
524414423
64552200
71655544
oct706050
9383820
10232488
11149743
12b2660
1381a89
1460a24
1548d43
hex38c28

232488 has 24 divisors (see below), whose sum is σ = 629850. Its totient is φ = 77472.

The previous prime is 232487. The next prime is 232499. The reversal of 232488 is 884232.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 19044 = 462^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232488.

It is not an unprimeable number, because it can be changed into a prime (232487) 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 in 5 ways as a sum of consecutive naturals, for example, 1543 + ... + 1686.

2232488 is an apocalyptic number.

It is an amenable number.

232488 is an abundant number, since it is smaller than the sum of its proper divisors (397362).

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

232488 is a wasteful number, since it uses less digits than its factorization.

232488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3234 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 232488 is about 482.1700944687. The cubic root of 232488 is about 61.4893894048.

The spelling of 232488 in words is "two hundred thirty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3229 6458 9687 12916 19374 25832 29061 38748 58122 77496 116244 232488