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BaseRepresentation
bin1011101010000000000
3201101221101
41131100000
544210302
612104144
73150364
oct1352000
9641841
10381952
11240a6a
12165054
13104b0c
149d2a4
1578287
hex5d400

381952 has 22 divisors (see below), whose sum is σ = 765578. Its totient is φ = 190464.

The previous prime is 381949. The next prime is 381977. The reversal of 381952 is 259183.

Subtracting from 381952 its sum of digits (28), we obtain a square (381924 = 6182).

381952 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 50176 = 576^2 + 224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 381952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 838 + ... + 1210.

It is an arithmetic number, because the mean of its divisors is an integer number (34799).

2381952 is an apocalyptic number.

381952 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 381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382789).

381952 is an abundant number, since it is smaller than the sum of its proper divisors (383626).

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

381952 is an equidigital number, since it uses as much as digits as its factorization.

381952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 381952 is about 618.0226533065. The cubic root of 381952 is about 72.5553758459. Note that the first 3 decimals are identical.

The spelling of 381952 in words is "three hundred eighty-one thousand, nine hundred fifty-two".