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84038427 = 321131139197
BaseRepresentation
bin1010000001001…
…01001100011011
312212010121001100
411000211030123
5133003212202
612201122443
72040212664
oct500451433
9185117040
1084038427
114348a350
1224189423
13145455a5
14b23836b
1575a041c
hex502531b

84038427 has 48 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 48686400.

The previous prime is 84038417. The next prime is 84038453. The reversal of 84038427 is 72483048.

It is not a de Polignac number, because 84038427 - 210 = 84037403 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84038391 and 84038400.

It is not an unprimeable number, because it can be changed into a prime (84038417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426493 + ... + 426689.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 284038427 is an apocalyptic number.

84038427 is a deficient number, since it is larger than the sum of its proper divisors (54339813).

84038427 is a wasteful number, since it uses less digits than its factorization.

84038427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84038427 is about 9167.2475149305. The cubic root of 84038427 is about 438.0186862610.

The spelling of 84038427 in words is "eighty-four million, thirty-eight thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 31 33 93 99 139 197 279 341 417 591 1023 1251 1529 1773 2167 3069 4309 4587 6107 6501 12927 13761 18321 19503 27383 38781 47399 54963 67177 82149 142197 201531 246447 301213 426591 604593 848873 903639 2546619 2710917 7639857 9337603 28012809 84038427