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382976 = 2111117
BaseRepresentation
bin1011101100000000000
3201110100022
41131200000
544223401
612113012
73153356
oct1354000
9643308
10382976
11241810
12165768
13105419
149d7d6
157871b
hex5d800

382976 has 48 divisors (see below), whose sum is σ = 884520. Its totient is φ = 163840.

The previous prime is 382961. The next prime is 382979. The reversal of 382976 is 679283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382979) by changing a digit.

382976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22520 + ... + 22536.

2382976 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 382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

382976 is an abundant number, since it is smaller than the sum of its proper divisors (501544).

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

382976 is a wasteful number, since it uses less digits than its factorization.

382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 382976 is about 618.8505473860. The cubic root of 382976 is about 72.6201574659.

The spelling of 382976 in words is "three hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1024 1088 1408 1496 2048 2176 2816 2992 4352 5632 5984 8704 11264 11968 17408 22528 23936 34816 47872 95744 191488 382976