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42611052 = 223111671933
BaseRepresentation
bin1010001010001…
…1000101101100
32222011212101010
42202203011230
541402023202
64121145220
71025121321
oct242430554
988155333
1042611052
1122064350
121232b210
138a9c153
145932b48
153b1a76c
hex28a316c

42611052 has 48 divisors (see below), whose sum is σ = 109170432. Its totient is φ = 12828480.

The previous prime is 42611021. The next prime is 42611069. The reversal of 42611052 is 25011624.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21078 + ... + 23010.

It is an arithmetic number, because the mean of its divisors is an integer number (2274384).

Almost surely, 242611052 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 42611052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585216).

42611052 is an abundant number, since it is smaller than the sum of its proper divisors (66559380).

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

42611052 is a wasteful number, since it uses less digits than its factorization.

42611052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 42611052 is about 6527.7141481532. The cubic root of 42611052 is about 349.2802952356.

Adding to 42611052 its reverse (25011624), we get a palindrome (67622676).

The spelling of 42611052 in words is "forty-two million, six hundred eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 1933 2004 3674 3866 5511 5799 7348 7732 11022 11598 21263 22044 23196 42526 63789 85052 127578 255156 322811 645622 968433 1291244 1936866 3550921 3873732 7101842 10652763 14203684 21305526 42611052