Search a number
-
+
42105462 = 2371002511
BaseRepresentation
bin1010000010011…
…1101001110110
32221020011211120
42200213221312
541234333322
64102244410
71020614310
oct240475166
987204746
1042105462
1121849503
1212126706
138952c99
1458407b0
153a6aa5c
hex2827a76

42105462 has 16 divisors (see below), whose sum is σ = 96241152. Its totient is φ = 12030120.

The previous prime is 42105461. The next prime is 42105491. The reversal of 42105462 is 26450124.

42105462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105461) 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, 501214 + ... + 501297.

It is an arithmetic number, because the mean of its divisors is an integer number (6015072).

Almost surely, 242105462 is an apocalyptic number.

42105462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42105462 is an abundant number, since it is smaller than the sum of its proper divisors (54135690).

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

42105462 is a wasteful number, since it uses less digits than its factorization.

42105462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002523.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42105462 is about 6488.8721670256. The cubic root of 42105462 is about 347.8933647383.

Adding to 42105462 its reverse (26450124), we get a palindrome (68555586).

The spelling of 42105462 in words is "forty-two million, one hundred five thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 1002511 2005022 3007533 6015066 7017577 14035154 21052731 42105462