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84874041 = 3373753229
BaseRepresentation
bin1010000111100…
…01001100111001
312220201001022000
411003301030321
5133211432131
612231051213
72050263120
oct503611471
9186631260
1084874041
1143a0013a
1224510b09
1314778a35
14b3b4ab7
1576b7ce6
hex50f1339

84874041 has 64 divisors (see below), whose sum is σ = 151027200. Its totient is φ = 46096128.

The previous prime is 84874033. The next prime is 84874087. The reversal of 84874041 is 14047848.

It is a happy number.

It is not a de Polignac number, because 84874041 - 23 = 84874033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84873987 and 84874005.

It is not an unprimeable number, because it can be changed into a prime (84874091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370515 + ... + 370743.

It is an arithmetic number, because the mean of its divisors is an integer number (2359800).

Almost surely, 284874041 is an apocalyptic number.

It is an amenable number.

84874041 is a deficient number, since it is larger than the sum of its proper divisors (66153159).

84874041 is a wasteful number, since it uses less digits than its factorization.

84874041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 84874041 is about 9212.7108388357. The cubic root of 84874041 is about 439.4656754286.

The spelling of 84874041 in words is "eighty-four million, eight hundred seventy-four thousand, forty-one".

Divisors: 1 3 7 9 21 27 37 53 63 111 159 189 229 259 333 371 477 687 777 999 1113 1431 1603 1961 2061 2331 3339 4809 5883 6183 6993 8473 10017 12137 13727 14427 17649 25419 36411 41181 43281 52947 59311 76257 84959 109233 123543 177933 228771 254877 327699 370629 449069 533799 764631 1347207 1601397 2293893 3143483 4041621 9430449 12124863 28291347 84874041