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1928382813 = 327236121817
BaseRepresentation
bin111001011110000…
…1100100101011101
311222101120222220200
41302330030211131
512422131222223
6515203534113
765533661220
oct16274144535
94871528820
101928382813
118aa581605
1245998a339
13249690726
141441755b7
15b4467a43
hex72f0c95d

1928382813 has 48 divisors (see below), whose sum is σ = 3376379136. Its totient is φ = 1036696320.

The previous prime is 1928382809. The next prime is 1928382821. The reversal of 1928382813 is 3182838291.

It is a happy number.

1928382813 is a `hidden beast` number, since 192 + 8 + 382 + 81 + 3 = 666.

It is not a de Polignac number, because 1928382813 - 22 = 1928382809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928383813) 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 47 ways as a sum of consecutive naturals, for example, 77481 + ... + 99297.

It is an arithmetic number, because the mean of its divisors is an integer number (70341232).

Almost surely, 21928382813 is an apocalyptic number.

It is an amenable number.

1928382813 is a deficient number, since it is larger than the sum of its proper divisors (1447996323).

1928382813 is a wasteful number, since it uses less digits than its factorization.

1928382813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21914 (or 21911 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1928382813 is about 43913.3557474261. The cubic root of 1928382813 is about 1244.6992199323.

The spelling of 1928382813 in words is "one billion, nine hundred twenty-eight million, three hundred eighty-two thousand, eight hundred thirteen".

Divisors: 1 3 7 9 21 23 61 63 69 161 183 207 427 483 549 1281 1403 1449 3843 4209 9821 12627 21817 29463 65451 88389 152719 196353 458157 501791 1330837 1374471 1505373 3512537 3992511 4516119 9315859 10537611 11977533 27947577 30609251 31612833 83842731 91827753 214264757 275483259 642794271 1928382813