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42530940 = 223351741113
BaseRepresentation
bin1010001000111…
…1100001111100
32222000210111000
42202033201330
541341442230
64115330300
71024335624
oct242174174
988023430
1042530940
112200a141
12122b0990
138a7184a
145911884
153b01b60
hex288f87c

42530940 has 192 divisors, whose sum is σ = 144789120. Its totient is φ = 10321920.

The previous prime is 42530927. The next prime is 42530941. The reversal of 42530940 is 4903524.

42530940 = T984 + T985 + ... + T1064.

42530940 is a `hidden beast` number, since 42 + 530 + 94 + 0 = 666.

42530940 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42530941) 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 63 ways as a sum of consecutive naturals, for example, 376324 + ... + 376436.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 242530940 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 42530940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

42530940 is an abundant number, since it is smaller than the sum of its proper divisors (102258180).

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

42530940 is a wasteful number, since it uses less digits than its factorization.

42530940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42530940 is about 6521.5749631512. The cubic root of 42530940 is about 349.0612667924.

The spelling of 42530940 in words is "forty-two million, five hundred thirty thousand, nine hundred forty".