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42503040 = 2732547157
BaseRepresentation
bin1010001000100…
…0101110000000
32221222101012200
42202020232000
541340044130
64114553200
71024161366
oct242105600
987871180
1042503040
1121aa0188
1212298800
138a61c38
145905636
153ae8760
hex2888b80

42503040 has 192 divisors, whose sum is σ = 150845760. Its totient is φ = 11022336.

The previous prime is 42503023. The next prime is 42503051. The reversal of 42503040 is 4030524.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270642 + ... + 270798.

It is an arithmetic number, because the mean of its divisors is an integer number (785655).

Almost surely, 242503040 is an apocalyptic number.

42503040 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 42503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75422880).

42503040 is an abundant number, since it is smaller than the sum of its proper divisors (108342720).

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

42503040 is a wasteful number, since it uses less digits than its factorization.

42503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42503040 is about 6519.4355583900. The cubic root of 42503040 is about 348.9849228441.

Adding to 42503040 its reverse (4030524), we get a palindrome (46533564).

The spelling of 42503040 in words is "forty-two million, five hundred three thousand, forty".