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42606162 = 235293023
BaseRepresentation
bin1010001010000…
…1111001010010
32222011121200000
42202201321102
541401344122
64121110430
71025101134
oct242417122
988147600
1042606162
1122060705
1212328416
138a99b61
145931054
153b190ac
hex28a1e52

42606162 has 48 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 13707792.

The previous prime is 42606127. The next prime is 42606167. The reversal of 42606162 is 26160624.

It is a happy number.

42606162 is a `hidden beast` number, since 42 + 6 + 0 + 616 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42606167) 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, 12583 + ... + 15605.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 242606162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42606162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

42606162 is an abundant number, since it is smaller than the sum of its proper divisors (56460078).

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

42606162 is a wasteful number, since it uses less digits than its factorization.

42606162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42606162 is about 6527.3395805642. The cubic root of 42606162 is about 349.2669337101.

Adding to 42606162 its reverse (26160624), we get a palindrome (68766786).

The spelling of 42606162 in words is "forty-two million, six hundred six thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 3023 4698 6046 7047 9069 14094 18138 27207 54414 81621 87667 163242 175334 244863 263001 489726 526002 734589 789003 1469178 1578006 2367009 4734018 7101027 14202054 21303081 42606162