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380592 = 2433881
BaseRepresentation
bin1011100111010110000
3201100002000
41130322300
544134332
612054000
73143412
oct1347260
9640060
10380592
1123aa43
12164300
13104304
149c9b2
1577b7c
hex5ceb0

380592 has 40 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 126720.

The previous prime is 380591. The next prime is 380621. The reversal of 380592 is 295083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380592.

It is not an unprimeable number, because it can be changed into a prime (380591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2380592 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 380592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

380592 is an abundant number, since it is smaller than the sum of its proper divisors (713088).

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

380592 is a wasteful number, since it uses less digits than its factorization.

380592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 380592 is about 616.9213888333. The cubic root of 380592 is about 72.4691585030.

The spelling of 380592 in words is "three hundred eighty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 21144 23787 31716 42288 47574 63432 95148 126864 190296 380592