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47463137 is a prime number
BaseRepresentation
bin1011010100001…
…1101011100001
310022022101011222
42311003223201
544122310022
64413144425
71114300331
oct265035341
9108271158
1047463137
1124878837
1213a8b115
139aaa7c7
1464370c1
154278242
hex2d43ae1

47463137 has 2 divisors, whose sum is σ = 47463138. Its totient is φ = 47463136.

The previous prime is 47463113. The next prime is 47463149. The reversal of 47463137 is 73136474.

47463137 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 can be written as a sum of positive squares in only one way, i.e., 23804641 + 23658496 = 4879^2 + 4864^2 .

It is a cyclic number.

It is not a de Polignac number, because 47463137 - 28 = 47462881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47463097 and 47463106.

It is not a weakly prime, because it can be changed into another prime (47463107) 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, 23731568 + 23731569.

It is an arithmetic number, because the mean of its divisors is an integer number (23731569).

Almost surely, 247463137 is an apocalyptic number.

It is an amenable number.

47463137 is a deficient number, since it is larger than the sum of its proper divisors (1).

47463137 is an equidigital number, since it uses as much as digits as its factorization.

47463137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 35.

The square root of 47463137 is about 6889.3495338820. The cubic root of 47463137 is about 362.0641121452.

The spelling of 47463137 in words is "forty-seven million, four hundred sixty-three thousand, one hundred thirty-seven".