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238875 = 3537213
BaseRepresentation
bin111010010100011011
3110010200020
4322110123
530121000
65041523
72013300
oct722433
9403606
10238875
1115351a
12b62a3
1384960
14630a7
154aba0
hex3a51b

238875 has 48 divisors (see below), whose sum is σ = 497952. Its totient is φ = 100800.

The previous prime is 238859. The next prime is 238877. The reversal of 238875 is 578832.

It is not a de Polignac number, because 238875 - 24 = 238859 is a prime.

It is a super-2 number, since 2×2388752 = 114122531250, which contains 22 as substring.

Its product of digits (13440) is a multiple of the sum of its prime divisors (28).

It is not an unprimeable number, because it can be changed into a prime (238877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18369 + ... + 18381.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2238875 is an apocalyptic number.

238875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238875 is an abundant number, since it is smaller than the sum of its proper divisors (259077).

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

238875 is a wasteful number, since it uses less digits than its factorization.

238875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 28 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 238875 is about 488.7484015319. The cubic root of 238875 is about 62.0473969866.

The spelling of 238875 in words is "two hundred thirty-eight thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 125 147 175 195 245 273 325 375 455 525 637 735 875 975 1225 1365 1625 1911 2275 2625 3185 3675 4875 6125 6825 9555 11375 15925 18375 34125 47775 79625 238875