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47813201 is a prime number
BaseRepresentation
bin1011011001100…
…1001001010001
310022222011101022
42312121021101
544220010301
64424445225
71120256042
oct266311121
9108864338
1047813201
1124a97847
1214019815
139ba0c47
1464c88c9
1542e6d1b
hex2d99251

47813201 has 2 divisors, whose sum is σ = 47813202. Its totient is φ = 47813200.

The previous prime is 47813189. The next prime is 47813239. The reversal of 47813201 is 10231874.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26790976 + 21022225 = 5176^2 + 4585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47813201 is a prime.

It is a super-2 number, since 2×478132012 = 4572204379732802, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (47810201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23906600 + 23906601.

It is an arithmetic number, because the mean of its divisors is an integer number (23906601).

Almost surely, 247813201 is an apocalyptic number.

It is an amenable number.

47813201 is a deficient number, since it is larger than the sum of its proper divisors (1).

47813201 is an equidigital number, since it uses as much as digits as its factorization.

47813201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 47813201 is about 6914.7090322008. The cubic root of 47813201 is about 362.9520663636.

The spelling of 47813201 in words is "forty-seven million, eight hundred thirteen thousand, two hundred one".