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382809375 = 335513349
BaseRepresentation
bin10110110100010…
…011010100011111
3222200022201202000
4112310103110133
51240444400000
6101552533343
712325553214
oct2664232437
9880281660
10382809375
111870a4393
12a8251253
1361402b30
1438babb0b
152391a000
hex16d1351f

382809375 has 96 divisors (see below), whose sum is σ = 765576000. Its totient is φ = 187920000.

The previous prime is 382809337. The next prime is 382809403. The reversal of 382809375 is 573908283.

It is not a de Polignac number, because 382809375 - 210 = 382808351 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382809375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096701 + ... + 1097049.

It is an arithmetic number, because the mean of its divisors is an integer number (7974750).

Almost surely, 2382809375 is an apocalyptic number.

382809375 is a deficient number, since it is larger than the sum of its proper divisors (382766625).

382809375 is an equidigital number, since it uses as much as digits as its factorization.

382809375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 382809375 is about 19565.5149433896. The cubic root of 382809375 is about 726.0962409126.

The spelling of 382809375 in words is "three hundred eighty-two million, eight hundred nine thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 135 195 225 325 349 351 375 585 625 675 975 1047 1125 1625 1745 1755 1875 2925 3125 3141 3375 4537 4875 5235 5625 8125 8725 8775 9375 9423 13611 14625 15705 16875 22685 24375 26175 28125 40625 40833 43625 43875 47115 68055 73125 78525 84375 113425 121875 122499 130875 204165 218125 219375 235575 340275 365625 392625 567125 612495 654375 1020825 1090625 1096875 1177875 1701375 1963125 2835625 3062475 3271875 5104125 5889375 8506875 9815625 14178125 15312375 25520625 29446875 42534375 76561875 127603125 382809375