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93210084 = 2232111132083
BaseRepresentation
bin1011000111001…
…00010111100100
320111101120012100
411203210113210
5142330210314
613125452100
72211162342
oct543442744
9214346170
1093210084
1148684130
1227271030
13164070c6
14c544992
1582b2c09
hex58e45e4

93210084 has 72 divisors (see below), whose sum is σ = 259432992. Its totient is φ = 27982080.

The previous prime is 93210077. The next prime is 93210107. The reversal of 93210084 is 48001239.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43707 + ... + 45789.

It is an arithmetic number, because the mean of its divisors is an integer number (3603236).

Almost surely, 293210084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93210084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129716496).

93210084 is an abundant number, since it is smaller than the sum of its proper divisors (166222908).

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

93210084 is a wasteful number, since it uses less digits than its factorization.

93210084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 93210084 is about 9654.5369645571. The cubic root of 93210084 is about 453.4063864874.

The spelling of 93210084 in words is "ninety-three million, two hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2083 2486 3729 4068 4166 4972 6249 7458 8332 11187 12498 14916 18747 22374 22913 24996 37494 44748 45826 68739 74988 91652 137478 206217 235379 274956 412434 470758 706137 824868 941516 1412274 2118411 2589169 2824548 4236822 5178338 7767507 8473644 10356676 15535014 23302521 31070028 46605042 93210084