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42170040 = 233251123463
BaseRepresentation
bin1010000011011…
…1011010111000
32221100110102100
42200313122320
541243420130
64103503400
71021303503
oct240673270
987313370
1042170040
1121892a80
1212157b60
1389764b3
14585a13a
153a7ec60
hex28376b8

42170040 has 192 divisors, whose sum is σ = 156349440. Its totient is φ = 9757440.

The previous prime is 42170027. The next prime is 42170041. The reversal of 42170040 is 4007124.

It is a happy number.

42170040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42169995 and 42170022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42170041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 90849 + ... + 91311.

It is an arithmetic number, because the mean of its divisors is an integer number (814320).

Almost surely, 242170040 is an apocalyptic number.

42170040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78174720).

42170040 is an abundant number, since it is smaller than the sum of its proper divisors (114179400).

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

42170040 is a wasteful number, since it uses less digits than its factorization.

42170040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42170040 is about 6493.8463178612. The cubic root of 42170040 is about 348.0711309217.

Adding to 42170040 its reverse (4007124), we get a palindrome (46177164).

The spelling of 42170040 in words is "forty-two million, one hundred seventy thousand, forty".