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42174990 = 2325111329113
BaseRepresentation
bin1010000011100…
…0101000001110
32221100201012200
42200320220032
541244044430
64103542330
71021324104
oct240705016
987321180
1042174990
1121896770
121215a9a6
138978820
14585bc74
153a81460
hex2838a0e

42174990 has 192 divisors, whose sum is σ = 134447040. Its totient is φ = 9031680.

The previous prime is 42174989. The next prime is 42174997. The reversal of 42174990 is 9947124.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42174997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373174 + ... + 373286.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 242174990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42174990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

42174990 is an abundant number, since it is smaller than the sum of its proper divisors (92272050).

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

42174990 is a wasteful number, since it uses less digits than its factorization.

42174990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42174990 is about 6494.2274367318. The cubic root of 42174990 is about 348.0847494740.

The spelling of 42174990 in words is "forty-two million, one hundred seventy-four thousand, nine hundred ninety".