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42610014 = 23237137467
BaseRepresentation
bin1010001010001…
…0110101011110
32222011210221200
42202202311132
541402010024
64121140330
71025115306
oct242426536
988153850
1042610014
1122063597
121232a6a6
138a9b835
145932606
153b1a2c9
hex28a2d5e

42610014 has 48 divisors (see below), whose sum is σ = 95713488. Its totient is φ = 13689216.

The previous prime is 42610003. The next prime is 42610021. The reversal of 42610014 is 41001624.

42610014 is a `hidden beast` number, since 42 + 610 + 0 + 14 = 666.

42610014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×426100142 = 3631226586160392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91009 + ... + 91475.

It is an arithmetic number, because the mean of its divisors is an integer number (1994031).

Almost surely, 242610014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42610014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47856744).

42610014 is an abundant number, since it is smaller than the sum of its proper divisors (53103474).

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

42610014 is a wasteful number, since it uses less digits than its factorization.

42610014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 646 counting only the distinct ones).

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

The square root of 42610014 is about 6527.6346405111. The cubic root of 42610014 is about 349.2774590709.

Adding to 42610014 its reverse (41001624), we get a palindrome (83611638).

It can be divided in two parts, 426 and 10014, that added together give a triangular number (10440 = T144).

The spelling of 42610014 in words is "forty-two million, six hundred ten thousand, fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 137 222 274 333 411 467 666 822 934 1233 1401 2466 2802 4203 5069 8406 10138 15207 17279 30414 34558 45621 51837 63979 91242 103674 127958 155511 191937 311022 383874 575811 1151622 2367223 4734446 7101669 14203338 21305007 42610014