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1382380832 = 25716337861
BaseRepresentation
bin101001001100101…
…0111010100100000
310120100012020000002
41102121113110200
510312342141312
6345101115132
746154020550
oct12231272440
93510166002
101382380832
1164a3551a8
12326b58aa8
1319051cc31
14d1847160
15815644c2
hex52657520

1382380832 has 48 divisors (see below), whose sum is σ = 3129521472. Its totient is φ = 588798720.

The previous prime is 1382380817. The next prime is 1382380849. The reversal of 1382380832 is 2380832831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17582 + ... + 55442.

It is an arithmetic number, because the mean of its divisors is an integer number (65198364).

Almost surely, 21382380832 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 1382380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564760736).

1382380832 is an abundant number, since it is smaller than the sum of its proper divisors (1747140640).

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

1382380832 is a wasteful number, since it uses less digits than its factorization.

1382380832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38041 (or 38033 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1382380832 is about 37180.3823541394. The cubic root of 1382380832 is about 1113.9761713179.

The spelling of 1382380832 in words is "one billion, three hundred eighty-two million, three hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 1141 1304 2282 2608 4564 5216 9128 18256 36512 37861 75722 151444 265027 302888 530054 605776 1060108 1211552 2120216 4240432 6171343 8480864 12342686 24685372 43199401 49370744 86398802 98741488 172797604 197482976 345595208 691190416 1382380832