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42611022 = 235432039
BaseRepresentation
bin1010001010001…
…1000101001110
32222011212100000
42202203011032
541402023042
64121145130
71025121246
oct242430516
988155300
1042611022
1122064323
121232b1a6
138a9c12c
145932b26
153b1a74c
hex28a314e

42611022 has 48 divisors (see below), whose sum is σ = 98017920. Its totient is φ = 13866552.

The previous prime is 42611021. The next prime is 42611069. The reversal of 42611022 is 22011624.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42610986 and 42611004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611021) 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 23 ways as a sum of consecutive naturals, for example, 19879 + ... + 21917.

It is an arithmetic number, because the mean of its divisors is an integer number (2042040).

Almost surely, 242611022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42611022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008960).

42611022 is an abundant number, since it is smaller than the sum of its proper divisors (55406898).

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

42611022 is a wasteful number, since it uses less digits than its factorization.

42611022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42611022 is about 6527.7118502581. The cubic root of 42611022 is about 349.2802132662.

Adding to 42611022 its reverse (22011624), we get a palindrome (64622646).

The spelling of 42611022 in words is "forty-two million, six hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1161 2039 2322 3483 4078 6117 6966 10449 12234 18351 20898 36702 55053 87677 110106 165159 175354 263031 330318 495477 526062 789093 990954 1578186 2367279 4734558 7101837 14203674 21305511 42611022