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238976325 = 3452723733
BaseRepresentation
bin11100011111001…
…11110101000101
3121122200020220000
432033213311011
5442134220300
635414031513
75631156660
oct1617476505
9548606800
10238976325
111129944a5
1268048599
133a682c13
1423a4a6d7
1515ea7c00
hexe3e7d45

238976325 has 120 divisors (see below), whose sum is σ = 528620928. Its totient is φ = 104353920.

The previous prime is 238976299. The next prime is 238976369. The reversal of 238976325 is 523679832.

238976325 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 7 + 632 + 5 = 666.

It is not a de Polignac number, because 238976325 - 210 = 238975301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 325659 + ... + 326391.

Almost surely, 2238976325 is an apocalyptic number.

238976325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

238976325 is an abundant number, since it is smaller than the sum of its proper divisors (289644603).

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

238976325 is a wasteful number, since it uses less digits than its factorization.

238976325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 238976325 is about 15458.8591105553. The cubic root of 238976325 is about 620.5616874836.

The spelling of 238976325 in words is "two hundred thirty-eight million, nine hundred seventy-six thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 27 35 45 63 69 75 81 105 115 135 161 175 189 207 225 315 345 405 483 525 567 575 621 675 733 805 945 1035 1449 1575 1725 1863 2025 2199 2415 2835 3105 3665 4025 4347 4725 5131 5175 6597 7245 9315 10995 12075 13041 14175 15393 15525 16859 18325 19791 21735 25655 32985 36225 46179 46575 50577 54975 59373 65205 76965 84295 98955 108675 118013 128275 138537 151731 164925 230895 252885 296865 326025 354039 384825 415611 421475 455193 494775 590065 692685 758655 1062117 1154475 1264425 1365579 1484325 1770195 2078055 2275965 2950325 3186351 3463425 3793275 5310585 6827895 8850975 9559053 10390275 11379825 15931755 26552925 34139475 47795265 79658775 238976325