Search a number
-
+
42641104 = 2411242279
BaseRepresentation
bin1010001010101…
…0011011010000
32222020101121011
42202222123100
541404003404
64121540304
71025305042
oct242523320
988211534
1042641104
1122084990
1212344694
138aaca2c
14593da92
153b24604
hex28aa6d0

42641104 has 20 divisors (see below), whose sum is σ = 90128160. Its totient is φ = 19382240.

The previous prime is 42641101. The next prime is 42641141. The reversal of 42641104 is 40114624.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42641101) 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 3 ways as a sum of consecutive naturals, for example, 120964 + ... + 121315.

It is an arithmetic number, because the mean of its divisors is an integer number (4506408).

Almost surely, 242641104 is an apocalyptic number.

42641104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42641104 is an abundant number, since it is smaller than the sum of its proper divisors (47487056).

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

42641104 is a wasteful number, since it uses less digits than its factorization.

42641104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242298 (or 242292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42641104 is about 6530.0156201957. The cubic root of 42641104 is about 349.3623874339.

Adding to 42641104 its reverse (40114624), we get a palindrome (82755728).

It can be divided in two parts, 42 and 641104, that added together give a palindrome (641146).

The spelling of 42641104 in words is "forty-two million, six hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 242279 484558 969116 1938232 2665069 3876464 5330138 10660276 21320552 42641104