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49782461 is a prime number
BaseRepresentation
bin1011110111100…
…1111010111101
310110200012200212
42331321322331
5100221014321
64535002205
71143100241
oct275717275
9113605625
1049782461
1126112333
1214809365
13a4103a1
14687c421
15458555b
hex2f79ebd

49782461 has 2 divisors, whose sum is σ = 49782462. Its totient is φ = 49782460.

The previous prime is 49782401. The next prime is 49782463. The reversal of 49782461 is 16428794.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31024900 + 18757561 = 5570^2 + 4331^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-49782461 is a prime.

Together with 49782463, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2988833 and since 49782461 and 2988833 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 (49782463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24891230 + 24891231.

It is an arithmetic number, because the mean of its divisors is an integer number (24891231).

Almost surely, 249782461 is an apocalyptic number.

It is an amenable number.

49782461 is a deficient number, since it is larger than the sum of its proper divisors (1).

49782461 is an equidigital number, since it uses as much as digits as its factorization.

49782461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96768, while the sum is 41.

The square root of 49782461 is about 7055.6687138782. The cubic root of 49782461 is about 367.8680927882.

The spelling of 49782461 in words is "forty-nine million, seven hundred eighty-two thousand, four hundred sixty-one".