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1975308642 = 232172379721
BaseRepresentation
bin111010110111100…
…1101000101100010
312002122220002001100
41311233031011202
513021134334032
6524001415230
766643563216
oct16557150542
95078802040
101975308642
1192401268a
1247163a516
132563107a8
1414a4ac946
15b863697c
hex75bcd162

1975308642 has 36 divisors (see below), whose sum is σ = 4546411506. Its totient is φ = 619703040.

The previous prime is 1975308641. The next prime is 1975308667. The reversal of 1975308642 is 2468035791.

1975308642 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1921857921 + 53450721 = 43839^2 + 7311^2 .

1975308642 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1975308641) 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 17 ways as a sum of consecutive naturals, for example, 184659 + ... + 195062.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1975308642 = 3950617284, but 3⋅1975308642 = 5925925926 is not.

Almost surely, 21975308642 is an apocalyptic number.

1975308642 is an abundant number, since it is smaller than the sum of its proper divisors (2571102864).

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

1975308642 is a wasteful number, since it uses less digits than its factorization.

1975308642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379763 (or 379743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1975308642 is about 44444.4444447222. Note that the first 6 decimals coincide. The cubic root of 1975308642 is about 1254.7147051799.

The spelling of 1975308642 in words is "one billion, nine hundred seventy-five million, three hundred eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 379721 759442 1139163 2278326 3417489 6455257 6834978 12910514 19365771 38731542 58097313 109739369 116194626 219478738 329218107 658436214 987654321 1975308642