Search a number
-
+
387724801 is a prime number
BaseRepresentation
bin10111000111000…
…011011000000001
31000000120110102211
4113013003120001
51243224143201
6102250142121
712415415002
oct2707033001
91000513384
10387724801
11189951422
12a9a21941
1362434279
14396cb1a9
152408b651
hex171c3601

387724801 has 2 divisors, whose sum is σ = 387724802. Its totient is φ = 387724800.

The previous prime is 387724787. The next prime is 387724817. The reversal of 387724801 is 108427783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 377330625 + 10394176 = 19425^2 + 3224^2 .

It is a cyclic number.

It is not a de Polignac number, because 387724801 - 25 = 387724769 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (387724861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193862400 + 193862401.

It is an arithmetic number, because the mean of its divisors is an integer number (193862401).

Almost surely, 2387724801 is an apocalyptic number.

It is an amenable number.

387724801 is a deficient number, since it is larger than the sum of its proper divisors (1).

387724801 is an equidigital number, since it uses as much as digits as its factorization.

387724801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 387724801 is about 19690.7288082488. The cubic root of 387724801 is about 729.1908222848.

The spelling of 387724801 in words is "three hundred eighty-seven million, seven hundred twenty-four thousand, eight hundred one".