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84128058 = 23678243
BaseRepresentation
bin1010000001110…
…11000100111010
312212022011000000
411000323010322
5133014044213
612203053430
72041035210
oct500730472
9185264000
1084128058
1143540723
1224211276
1314577321
14b25ccb0
1575bbc73
hex503b13a

84128058 has 56 divisors (see below), whose sum is σ = 216256608. Its totient is φ = 24033672.

The previous prime is 84127999. The next prime is 84128059. The reversal of 84128058 is 85082148.

It is a super-3 number, since 3×841280583 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84128059) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6085 + ... + 14327.

Almost surely, 284128058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84128058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108128304).

84128058 is an abundant number, since it is smaller than the sum of its proper divisors (132128550).

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

84128058 is an equidigital number, since it uses as much as digits as its factorization.

84128058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 84128058 is about 9172.1348659949. The cubic root of 84128058 is about 438.1743535550.

The spelling of 84128058 in words is "eighty-four million, one hundred twenty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 5103 8243 10206 16486 24729 49458 57701 74187 115402 148374 173103 222561 346206 445122 519309 667683 1038618 1335366 1557927 2003049 3115854 4006098 4673781 6009147 9347562 12018294 14021343 28042686 42064029 84128058