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42456390 = 23523371663
BaseRepresentation
bin1010000111110…
…1010101000110
32221220000012220
42201331111012
541332101030
64113553210
71023605364
oct241752506
987800186
1042456390
1121a69129
1212275806
138a46932
1458d2634
153ad9a10
hex287d546

42456390 has 64 divisors (see below), whose sum is σ = 109264896. Its totient is φ = 10530432.

The previous prime is 42456389. The next prime is 42456397. The reversal of 42456390 is 9365424.

42456390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456397) 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 31 ways as a sum of consecutive naturals, for example, 24699 + ... + 26361.

It is an arithmetic number, because the mean of its divisors is an integer number (1707264).

Almost surely, 242456390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42456390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54632448).

42456390 is an abundant number, since it is smaller than the sum of its proper divisors (66808506).

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

42456390 is a wasteful number, since it uses less digits than its factorization.

42456390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 42456390 is about 6515.8568124231. The cubic root of 42456390 is about 348.8571978117.

The spelling of 42456390 in words is "forty-two million, four hundred fifty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1663 1702 2553 3326 4255 4989 5106 8315 8510 9978 12765 16630 24945 25530 38249 49890 61531 76498 114747 123062 184593 191245 229494 307655 369186 382490 573735 615310 922965 1147470 1415213 1845930 2830426 4245639 7076065 8491278 14152130 21228195 42456390