Search a number
-
+
2427292801 is a prime number
BaseRepresentation
bin1001000010101101…
…1000110010000001
320021011101020202101
42100223120302001
514432341332201
61040505150401
7114102435253
oct22053306201
96234336671
102427292801
11103616400a
12578a8b401
132c8b5363b
14190525cd3
15e3167d01
hex90ad8c81

2427292801 has 2 divisors, whose sum is σ = 2427292802. Its totient is φ = 2427292800.

The previous prime is 2427292733. The next prime is 2427292823. The reversal of 2427292801 is 1082927242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2372177025 + 55115776 = 48705^2 + 7424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2427292801 - 29 = 2427292289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2427292001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1213646400 + 1213646401.

It is an arithmetic number, because the mean of its divisors is an integer number (1213646401).

Almost surely, 22427292801 is an apocalyptic number.

It is an amenable number.

2427292801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2427292801 is an equidigital number, since it uses as much as digits as its factorization.

2427292801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2427292801 is about 49267.5633759170. The cubic root of 2427292801 is about 1343.9219769477.

The spelling of 2427292801 in words is "two billion, four hundred twenty-seven million, two hundred ninety-two thousand, eight hundred one".