Search a number
-
+
40057601 is a prime number
BaseRepresentation
bin1001100011001…
…1101100000001
32210101010200212
42120303230001
540223320401
63550323505
7664325003
oct230635401
983333625
1040057601
112067a961
12114b9595
1383b6b2c
14546a373
1537b3dbb
hex2633b01

40057601 has 2 divisors, whose sum is σ = 40057602. Its totient is φ = 40057600.

The previous prime is 40057547. The next prime is 40057621. The reversal of 40057601 is 10675004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28633201 + 11424400 = 5351^2 + 3380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40057601 is a prime.

It is a super-2 number, since 2×400576012 = 3209222795750402, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40057621) 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 as a sum of consecutive naturals, namely, 20028800 + 20028801.

It is an arithmetic number, because the mean of its divisors is an integer number (20028801).

Almost surely, 240057601 is an apocalyptic number.

It is an amenable number.

40057601 is a deficient number, since it is larger than the sum of its proper divisors (1).

40057601 is an equidigital number, since it uses as much as digits as its factorization.

40057601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 40057601 is about 6329.1074410220. The cubic root of 40057601 is about 342.1592711407.

The spelling of 40057601 in words is "forty million, fifty-seven thousand, six hundred one".