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382928 = 24713263
BaseRepresentation
bin1011101011111010000
3201110021112
41131133100
544223203
612112452
73153260
oct1353720
9643245
10382928
11241777
12165728
131053b0
149d7a0
15786d8
hex5d7d0

382928 has 40 divisors (see below), whose sum is σ = 916608. Its totient is φ = 150912.

The previous prime is 382919. The next prime is 382933. The reversal of 382928 is 829283.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 382894 and 382903.

It is a congruent number.

It is an unprimeable number.

382928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1325 + ... + 1587.

2382928 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 382928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304).

382928 is an abundant number, since it is smaller than the sum of its proper divisors (533680).

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

382928 is a wasteful number, since it uses less digits than its factorization.

382928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 382928 is about 618.8117645940. The cubic root of 382928 is about 72.6171234087.

The spelling of 382928 in words is "three hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 263 364 526 728 1052 1456 1841 2104 3419 3682 4208 6838 7364 13676 14728 23933 27352 29456 47866 54704 95732 191464 382928