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42641144 = 2371358573
BaseRepresentation
bin1010001010101…
…0011011111000
32222020101122122
42202222123320
541404004034
64121540412
71025305130
oct242523370
988211578
1042641144
1122084a17
1212344708
138aaca60
14593dac0
153b2462e
hex28aa6f8

42641144 has 32 divisors (see below), whose sum is σ = 98404320. Its totient is φ = 16868736.

The previous prime is 42641141. The next prime is 42641147. The reversal of 42641144 is 44114624.

42641144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42641141) and next prime (42641147).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42641141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28559 + ... + 30014.

It is an arithmetic number, because the mean of its divisors is an integer number (3075135).

Almost surely, 242641144 is an apocalyptic number.

It is an amenable number.

42641144 is an abundant number, since it is smaller than the sum of its proper divisors (55763176).

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

42641144 is a wasteful number, since it uses less digits than its factorization.

42641144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58599 (or 58595 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 42641144 is about 6530.0186829748. The cubic root of 42641144 is about 349.3624966750.

Adding to 42641144 its reverse (44114624), we get a palindrome (86755768).

The spelling of 42641144 in words is "forty-two million, six hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 58573 117146 234292 410011 468584 761449 820022 1522898 1640044 3045796 3280088 5330143 6091592 10660286 21320572 42641144