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42480306 = 23211732939
BaseRepresentation
bin1010001000001…
…1001010110010
32221221020000200
42202003022302
541333332211
64114300030
71024035201
oct242031262
987836020
1042480306
1121a850a0
1212287616
138a5479b
1458db238
153ae1b56
hex28832b2

42480306 has 48 divisors (see below), whose sum is σ = 101818080. Its totient is φ = 12692160.

The previous prime is 42480299. The next prime is 42480307. The reversal of 42480306 is 60308424.

It is a self number, because there is not a number n which added to its sum of digits gives 42480306.

It is not an unprimeable number, because it can be changed into a prime (42480307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12985 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (2121210).

Almost surely, 242480306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42480306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50909040).

42480306 is an abundant number, since it is smaller than the sum of its proper divisors (59337774).

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

42480306 is a wasteful number, since it uses less digits than its factorization.

42480306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42480306 is about 6517.6917693306. The cubic root of 42480306 is about 348.9226901332.

The spelling of 42480306 in words is "forty-two million, four hundred eighty thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 2939 4818 5878 7227 8817 14454 17634 26451 32329 52902 64658 96987 193974 214547 290961 429094 581922 643641 1287282 1930923 2360017 3861846 4720034 7080051 14160102 21240153 42480306