Search a number
-
+
42222128 = 2413414951
BaseRepresentation
bin1010000100010…
…0001000110000
32221110002212112
42201010020300
541302102003
64104544452
71021611404
oct241041060
987402775
1042222128
1121919123
1212182128
138994110
145871104
153a903d8
hex2844230

42222128 has 40 divisors (see below), whose sum is σ = 90265056. Its totient is φ = 19008000.

The previous prime is 42222119. The next prime is 42222139. The reversal of 42222128 is 82122224.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6053 + ... + 11003.

Almost surely, 242222128 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 42222128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45132528).

42222128 is an abundant number, since it is smaller than the sum of its proper divisors (48042928).

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

42222128 is a wasteful number, since it uses less digits than its factorization.

42222128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5007 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 42222128 is about 6497.8556462882. The cubic root of 42222128 is about 348.2143832511.

The spelling of 42222128 in words is "forty-two million, two hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 4951 8528 9902 19804 39608 64363 79216 128726 202991 257452 405982 514904 811964 1029808 1623928 2638883 3247856 5277766 10555532 21111064 42222128