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382293 = 3314159
BaseRepresentation
bin1011101010101010101
3201102102000
41131111111
544213133
612105513
73151362
oct1352525
9642360
10382293
1124124a
12165299
13105012
149d469
1578413
hex5d555

382293 has 8 divisors (see below), whose sum is σ = 566400. Its totient is φ = 254844.

The previous prime is 382271. The next prime is 382303. The reversal of 382293 is 392283.

It is not a de Polignac number, because 382293 - 26 = 382229 is a prime.

It is a super-2 number, since 2×3822932 = 292295875698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 14159 = 382293 / (3 + 8 + 2 + 2 + 9 + 3).

It is a d-powerful number, because it can be written as 3 + 86 + 210 + 210 + 95 + 310 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7053 + ... + 7106.

It is an arithmetic number, because the mean of its divisors is an integer number (70800).

2382293 is an apocalyptic number.

It is an amenable number.

382293 is a deficient number, since it is larger than the sum of its proper divisors (184107).

382293 is a wasteful number, since it uses less digits than its factorization.

382293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14168 (or 14162 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 382293 is about 618.2984716138. The cubic root of 382293 is about 72.5769614761.

The spelling of 382293 in words is "three hundred eighty-two thousand, two hundred ninety-three".

Divisors: 1 3 9 27 14159 42477 127431 382293