Search a number
-
+
42588541 is a prime number
BaseRepresentation
bin1010001001110…
…1100101111101
32222010201111101
42202131211331
541400313131
64120453101
71024665562
oct242354575
988121441
1042588541
1122049446
121231a191
138a91b28
145928869
153b13c61
hex289d97d

42588541 has 2 divisors, whose sum is σ = 42588542. Its totient is φ = 42588540.

The previous prime is 42588523. The next prime is 42588583. The reversal of 42588541 is 14588524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39879225 + 2709316 = 6315^2 + 1646^2 .

It is a cyclic number.

It is not a de Polignac number, because 42588541 - 25 = 42588509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42588541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42580541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21294270 + 21294271.

It is an arithmetic number, because the mean of its divisors is an integer number (21294271).

Almost surely, 242588541 is an apocalyptic number.

It is an amenable number.

42588541 is a deficient number, since it is larger than the sum of its proper divisors (1).

42588541 is an equidigital number, since it uses as much as digits as its factorization.

42588541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51200, while the sum is 37.

The square root of 42588541 is about 6525.9896567494. The cubic root of 42588541 is about 349.2187772855.

The spelling of 42588541 in words is "forty-two million, five hundred eighty-eight thousand, five hundred forty-one".