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382912 = 2631193
BaseRepresentation
bin1011101011111000000
3201110020221
41131133000
544223122
612112424
73153235
oct1353700
9643227
10382912
11241762
12165714
1310539a
149d78c
15786c7
hex5d7c0

382912 has 28 divisors (see below), whose sum is σ = 788416. Its totient is φ = 184320.

The previous prime is 382883. The next prime is 382919. The reversal of 382912 is 219283.

382912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382919) by changing a digit.

382912 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, 1888 + ... + 2080.

2382912 is an apocalyptic number.

382912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394208).

382912 is an abundant number, since it is smaller than the sum of its proper divisors (405504).

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

382912 is a wasteful number, since it uses less digits than its factorization.

382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 382912 is about 618.7988364566. The cubic root of 382912 is about 72.6161120000.

The spelling of 382912 in words is "three hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 193 248 386 496 772 992 1544 1984 3088 5983 6176 11966 12352 23932 47864 95728 191456 382912