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238765875 = 35319233147
BaseRepresentation
bin11100011101101…
…00011100110011
3121122021120012120
432032310130303
5442111002000
635405325323
75626322265
oct1616643463
9548246176
10238765875
11112860377
1267b66843
133a60b1aa
14239d3b35
1515e656a0
hexe3b4733

238765875 has 128 divisors (see below), whose sum is σ = 460062720. Its totient is φ = 109296000.

The previous prime is 238765843. The next prime is 238765883. The reversal of 238765875 is 578567832.

It is not a de Polignac number, because 238765875 - 25 = 238765843 is a prime.

Its product of digits (2822400) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5080102 + ... + 5080148.

It is an arithmetic number, because the mean of its divisors is an integer number (3594240).

Almost surely, 2238765875 is an apocalyptic number.

238765875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238765875 is a deficient number, since it is larger than the sum of its proper divisors (221296845).

238765875 is a wasteful number, since it uses less digits than its factorization.

238765875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The square root of 238765875 is about 15452.0508347598. The cubic root of 238765875 is about 620.3794719972.

The spelling of 238765875 in words is "two hundred thirty-eight million, seven hundred sixty-five thousand, eight hundred seventy-five".

Divisors: 1 3 5 15 19 23 25 31 47 57 69 75 93 95 115 125 141 155 235 285 345 375 437 465 475 575 589 705 713 775 893 1081 1175 1311 1425 1457 1725 1767 2139 2185 2325 2375 2679 2875 2945 3243 3525 3565 3875 4371 4465 5405 5875 6555 7125 7285 8625 8835 10695 10925 11625 13395 13547 14725 16215 17625 17825 20539 21855 22325 27025 27683 32775 33511 36425 40641 44175 53475 54625 61617 66975 67735 73625 81075 83049 89125 100533 102695 109275 111625 135125 138415 163875 167555 182125 203205 220875 267375 308085 334875 338675 405375 415245 502665 513475 546375 636709 692075 837775 1016025 1540425 1693375 1910127 2076225 2513325 2567375 3183545 3460375 4188875 5080125 7702125 9550635 10381125 12566625 15917725 47753175 79588625 238765875