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1032050404 = 227116475179
BaseRepresentation
bin111101100000111…
…101011011100100
32122220222121000001
4331200331123210
54103201103104
6250224231044
734401166210
oct7540753344
92586877001
101032050404
1148a624820
1224976b484
13135a7c518
149b0d1940
1560912aa4
hex3d83d6e4

1032050404 has 48 divisors (see below), whose sum is σ = 2255662080. Its totient is φ = 401398560.

The previous prime is 1032050377. The next prime is 1032050407. The reversal of 1032050404 is 4040502301.

1032050404 = 33812 + 33822 + ... + 34682.

It is not an unprimeable number, because it can be changed into a prime (1032050407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196687 + ... + 201865.

It is an arithmetic number, because the mean of its divisors is an integer number (46992960).

Almost surely, 21032050404 is an apocalyptic number.

1032050404 is a gapful number since it is divisible by the number (14) 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 1032050404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127831040).

1032050404 is an abundant number, since it is smaller than the sum of its proper divisors (1223611676).

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

1032050404 is a wasteful number, since it uses less digits than its factorization.

1032050404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1032050404 is about 32125.5413028325. The cubic root of 1032050404 is about 1010.5713213727.

Adding to 1032050404 its reverse (4040502301), we get a palindrome (5072552705).

The spelling of 1032050404 in words is "one billion, thirty-two million, fifty thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 647 1294 2588 4529 5179 7117 9058 10358 14234 18116 20716 28468 36253 49819 56969 72506 99638 113938 145012 199276 227876 398783 797566 1595132 3350813 6701626 13403252 23455691 36858943 46911382 73717886 93822764 147435772 258012601 516025202 1032050404