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382096 = 241113167
BaseRepresentation
bin1011101010010010000
3201102010201
41131102100
544211341
612104544
73150661
oct1352220
9642121
10382096
11241090
12165154
13104bc0
149d368
1578331
hex5d490

382096 has 40 divisors (see below), whose sum is σ = 874944. Its totient is φ = 159360.

The previous prime is 382087. The next prime is 382103. The reversal of 382096 is 690283.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205 + ... + 2371.

2382096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

382096 is an abundant number, since it is smaller than the sum of its proper divisors (492848).

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

382096 is a wasteful number, since it uses less digits than its factorization.

382096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 382096 is about 618.1391429120. The cubic root of 382096 is about 72.5644927518.

It can be divided in two parts, 3820 and 96, that added together give a triangular number (3916 = T88).

The spelling of 382096 in words is "three hundred eighty-two thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 167 176 208 286 334 572 668 1144 1336 1837 2171 2288 2672 3674 4342 7348 8684 14696 17368 23881 29392 34736 47762 95524 191048 382096