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842378427 = 331123127971
BaseRepresentation
bin110010001101011…
…010110010111011
32011201002020222000
4302031122302323
53211122102202
6215331032043
726606045532
oct6215326273
92151066860
10842378427
113a2556420
121b613b623
131056a0197
147dc3b319
154de4891c
hex3235acbb

842378427 has 64 divisors (see below), whose sum is σ = 1433272320. Its totient is φ = 483991200.

The previous prime is 842378423. The next prime is 842378429. The reversal of 842378427 is 724873248.

It is not a de Polignac number, because 842378427 - 22 = 842378423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (842378423) 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 63 ways as a sum of consecutive naturals, for example, 867052 + ... + 868022.

It is an arithmetic number, because the mean of its divisors is an integer number (22394880).

Almost surely, 2842378427 is an apocalyptic number.

842378427 is a deficient number, since it is larger than the sum of its proper divisors (590893893).

842378427 is a wasteful number, since it uses less digits than its factorization.

842378427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 842378427 is about 29023.7562524219. The cubic root of 842378427 is about 944.4284878929.

The spelling of 842378427 in words is "eight hundred forty-two million, three hundred seventy-eight thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 23 27 33 69 99 127 207 253 297 381 621 759 971 1143 1397 2277 2913 2921 3429 4191 6831 8739 8763 10681 12573 22333 26217 26289 32043 32131 37719 66999 78867 96129 96393 123317 200997 245663 288387 289179 369951 602991 736989 867537 1109853 1356487 2210967 2836291 3329559 4069461 6632901 8508873 12208383 25526619 31199201 36625149 76579857 93597603 280792809 842378427