Search a number
-
+
46764101 is a prime number
BaseRepresentation
bin1011001001100…
…1000001000101
310020222212021202
42302121001011
543432422401
64350152245
71105326326
oct262310105
9106885252
1046764101
112444061a
12137b2685
1398c4587
1462d444d
15418b06b
hex2c99045

46764101 has 2 divisors, whose sum is σ = 46764102. Its totient is φ = 46764100.

The previous prime is 46764023. The next prime is 46764103. The reversal of 46764101 is 10146764.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45576001 + 1188100 = 6751^2 + 1090^2 .

It is a cyclic number.

It is not a de Polignac number, because 46764101 - 210 = 46763077 is a prime.

It is a super-2 number, since 2×467641012 = 4373762284676402, which contains 22 as substring.

Together with 46764103, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2818307 and since 46764101 and 2818307 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46764103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23382050 + 23382051.

It is an arithmetic number, because the mean of its divisors is an integer number (23382051).

Almost surely, 246764101 is an apocalyptic number.

It is an amenable number.

46764101 is a deficient number, since it is larger than the sum of its proper divisors (1).

46764101 is an equidigital number, since it uses as much as digits as its factorization.

46764101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 46764101 is about 6838.4282550890. The cubic root of 46764101 is about 360.2778230916.

The spelling of 46764101 in words is "forty-six million, seven hundred sixty-four thousand, one hundred one".