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42393750 = 235571719
BaseRepresentation
bin1010000110111…
…0000010010110
32221202211021220
42201232002112
541323100000
64112351210
71023224640
oct241560226
987684256
1042393750
1121a26063
1212245506
138a24279
1458b7890
153ac61a0
hex286e096

42393750 has 192 divisors, whose sum is σ = 134991360. Its totient is φ = 8640000.

The previous prime is 42393707. The next prime is 42393751. The reversal of 42393750 is 5739324.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42393751) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2231241 + ... + 2231259.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 242393750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42393750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

42393750 is an abundant number, since it is smaller than the sum of its proper divisors (92597610).

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

42393750 is a wasteful number, since it uses less digits than its factorization.

42393750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 42393750 is about 6511.0483026929. The cubic root of 42393750 is about 348.6855458281.

The spelling of 42393750 in words is "forty-two million, three hundred ninety-three thousand, seven hundred fifty".