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42425740 = 2257674523
BaseRepresentation
bin1010000111010…
…1110110001100
32221211110011201
42201311312030
541330110430
64113155244
71023420130
oct241656614
987743151
1042425740
1121a480a5
121225bb24
138a359b6
1458c53c0
153ad08ca
hex2875d8c

42425740 has 48 divisors (see below), whose sum is σ = 103364352. Its totient is φ = 14325696.

The previous prime is 42425711. The next prime is 42425741. The reversal of 42425740 is 4752424.

It is a happy number.

42425740 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 42425699 and 42425708.

It is not an unprimeable number, because it can be changed into a prime (42425741) 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 15 ways as a sum of consecutive naturals, for example, 7119 + ... + 11641.

It is an arithmetic number, because the mean of its divisors is an integer number (2153424).

Almost surely, 242425740 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 42425740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51682176).

42425740 is an abundant number, since it is smaller than the sum of its proper divisors (60938612).

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

42425740 is a wasteful number, since it uses less digits than its factorization.

42425740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 42425740 is about 6513.5044330990. The cubic root of 42425740 is about 348.7732289269.

The spelling of 42425740 in words is "forty-two million, four hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4523 4690 9046 9380 18092 22615 31661 45230 63322 90460 126644 158305 303041 316610 606082 633220 1212164 1515205 2121287 3030410 4242574 6060820 8485148 10606435 21212870 42425740