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93333084 = 223131973037
BaseRepresentation
bin1011001000000…
…10011001011100
320111121210220220
411210002121130
5142343124314
613132241340
72212214055
oct544023134
9214553826
1093333084
1148758589
1227310250
131644b0a0
14c57772c
1582d93a9
hex590265c

93333084 has 48 divisors (see below), whose sum is σ = 235797408. Its totient is φ = 28562688.

The previous prime is 93333067. The next prime is 93333113. The reversal of 93333084 is 48033339.

It is a super-2 number, since 2×933330842 = 17422129137902112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29214 + ... + 32250.

It is an arithmetic number, because the mean of its divisors is an integer number (4912446).

Almost surely, 293333084 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 93333084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117898704).

93333084 is an abundant number, since it is smaller than the sum of its proper divisors (142464324).

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

93333084 is a wasteful number, since it uses less digits than its factorization.

93333084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 93333084 is about 9660.9049265584. The cubic root of 93333084 is about 453.6057371377.

The spelling of 93333084 in words is "ninety-three million, three hundred thirty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 394 591 788 1182 2364 2561 3037 5122 6074 7683 9111 10244 12148 15366 18222 30732 36444 39481 78962 118443 157924 236886 473772 598289 1196578 1794867 2393156 3589734 7179468 7777757 15555514 23333271 31111028 46666542 93333084