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238488 = 23319523
BaseRepresentation
bin111010001110011000
3110010010220
4322032120
530112423
65040040
72012205
oct721630
9403126
10238488
111531a8
12b6020
1384723
1462cac
154a9e3
hex3a398

238488 has 32 divisors (see below), whose sum is σ = 628800. Its totient is φ = 75168.

The previous prime is 238481. The next prime is 238499. The reversal of 238488 is 884832.

238488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2384882 = 113753052288, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238488.

It is not an unprimeable number, because it can be changed into a prime (238481) by changing a digit.

238488 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 7 ways as a sum of consecutive naturals, for example, 195 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (19650).

2238488 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 238488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314400).

238488 is an abundant number, since it is smaller than the sum of its proper divisors (390312).

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

238488 is a wasteful number, since it uses less digits than its factorization.

238488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 238488 is about 488.3523318261. The cubic root of 238488 is about 62.0138713327.

The spelling of 238488 in words is "two hundred thirty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 523 1046 1569 2092 3138 4184 6276 9937 12552 19874 29811 39748 59622 79496 119244 238488