Search a number
-
+
42228306 = 23217592339
BaseRepresentation
bin1010000100010…
…1101001010010
32221110102100100
42201011221102
541302301211
64105033230
71021635411
oct241055122
987412310
1042228306
112192282a
1212185816
138996b83
145873478
153a92156
hex2845a52

42228306 has 48 divisors (see below), whose sum is σ = 98560800. Its totient is φ = 13017984.

The previous prime is 42228301. The next prime is 42228311. The reversal of 42228306 is 60382224.

It is an interprime number because it is at equal distance from previous prime (42228301) and next prime (42228311).

It is a self number, because there is not a number n which added to its sum of digits gives 42228306.

It is not an unprimeable number, because it can be changed into a prime (42228301) 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, 16885 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350).

Almost surely, 242228306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42228306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49280400).

42228306 is an abundant number, since it is smaller than the sum of its proper divisors (56332494).

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

42228306 is a wasteful number, since it uses less digits than its factorization.

42228306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2420 counting only the distinct ones).

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

The square root of 42228306 is about 6498.3310164995. The cubic root of 42228306 is about 348.2313661591.

The spelling of 42228306 in words is "forty-two million, two hundred twenty-eight thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 2339 3009 4678 6018 7017 9027 14034 18054 21051 39763 42102 79526 119289 138001 238578 276002 357867 414003 715734 828006 1242009 2346017 2484018 4692034 7038051 14076102 21114153 42228306