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93244032 = 2732731373
BaseRepresentation
bin1011000111011…
…00101010000000
320111110021202200
411203230222000
5142332302112
613130313200
72211363330
oct543545200
9214407680
1093244032
11486a7692
1227288800
13164196ab
14c5530c0
1582bccdc
hex58eca80

93244032 has 192 divisors, whose sum is σ = 317391360. Its totient is φ = 25712640.

The previous prime is 93244009. The next prime is 93244049. The reversal of 93244032 is 23044239.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 93243987 and 93244005.

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 23 ways as a sum of consecutive naturals, for example, 249798 + ... + 250170.

It is an arithmetic number, because the mean of its divisors is an integer number (1653080).

Almost surely, 293244032 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 93244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158695680).

93244032 is an abundant number, since it is smaller than the sum of its proper divisors (224147328).

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

93244032 is a wasteful number, since it uses less digits than its factorization.

93244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 93244032 is about 9656.2949416430. The cubic root of 93244032 is about 453.4614247803.

The spelling of 93244032 in words is "ninety-three million, two hundred forty-four thousand, thirty-two".