Search a number
-
+
42402141 = 3231379401
BaseRepresentation
bin1010000111000…
…0000101011101
32221210020210200
42201300011131
541323332031
64112454113
71023261255
oct241600535
987706720
1042402141
1121a313a1
121224a339
138a28032
1458ba965
153ac88e6
hex287015d

42402141 has 24 divisors (see below), whose sum is σ = 63548160. Its totient is φ = 27216000.

The previous prime is 42402121. The next prime is 42402149. The reversal of 42402141 is 14120424.

It is not a de Polignac number, because 42402141 - 217 = 42271069 is a prime.

It is a super-2 number, since 2×424021412 = 3595883122767762, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42402149) 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 23 ways as a sum of consecutive naturals, for example, 105541 + ... + 105941.

It is an arithmetic number, because the mean of its divisors is an integer number (2647840).

Almost surely, 242402141 is an apocalyptic number.

It is an amenable number.

42402141 is a deficient number, since it is larger than the sum of its proper divisors (21146019).

42402141 is a wasteful number, since it uses less digits than its factorization.

42402141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42402141 is about 6511.6926370952. The cubic root of 42402141 is about 348.7085494344.

Adding to 42402141 its reverse (14120424), we get a palindrome (56522565).

The spelling of 42402141 in words is "forty-two million, four hundred two thousand, one hundred forty-one".

Divisors: 1 3 9 31 93 279 379 401 1137 1203 3411 3609 11749 12431 35247 37293 105741 111879 151979 455937 1367811 4711349 14134047 42402141