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51782047 is a prime number
BaseRepresentation
bin1100010110001…
…0000110011111
310121102210121121
43011202012133
5101224011142
65045511411
71166066032
oct305420637
9117383547
1051782047
1127258689
1215412567
13a960585
146c3d019
15482cc67
hex316219f

51782047 has 2 divisors, whose sum is σ = 51782048. Its totient is φ = 51782046.

The previous prime is 51782009. The next prime is 51782063. The reversal of 51782047 is 74028715.

It is a happy number.

51782047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51782047 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51782077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25891023 + 25891024.

It is an arithmetic number, because the mean of its divisors is an integer number (25891024).

Almost surely, 251782047 is an apocalyptic number.

51782047 is a deficient number, since it is larger than the sum of its proper divisors (1).

51782047 is an equidigital number, since it uses as much as digits as its factorization.

51782047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 51782047 is about 7195.9743607103. The cubic root of 51782047 is about 372.7289033458.

It can be divided in two parts, 5178 and 2047, that added together give a square (7225 = 852).

The spelling of 51782047 in words is "fifty-one million, seven hundred eighty-two thousand, forty-seven".