Search a number
-
+
42322280 = 235721113151
BaseRepresentation
bin1010000101110…
…0100101101000
32221122012020212
42201130211220
541313303110
64111040252
71022506400
oct241344550
987565225
1042322280
11219873a0
1212210088
1389ca890
145899800
153aaee05
hex285c968

42322280 has 192 divisors, whose sum is σ = 130999680. Its totient is φ = 12096000.

The previous prime is 42322271. The next prime is 42322283. The reversal of 42322280 is 8222324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280205 + ... + 280355.

It is an arithmetic number, because the mean of its divisors is an integer number (682290).

Almost surely, 242322280 is an apocalyptic number.

42322280 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 42322280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

42322280 is an abundant number, since it is smaller than the sum of its proper divisors (88677400).

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

42322280 is a wasteful number, since it uses less digits than its factorization.

42322280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 42322280 is about 6505.5576240627. The cubic root of 42322280 is about 348.4894904088.

The spelling of 42322280 in words is "forty-two million, three hundred twenty-two thousand, two hundred eighty".