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47827961 is a prime number
BaseRepresentation
bin1011011001110…
…0101111111001
310022222220121222
42312130233321
544220443321
64425041425
71120350056
oct266345771
9108886558
1047827961
1124aa7945
1214026275
139ba788c
1464d002d
1542eb3ab
hex2d9cbf9

47827961 has 2 divisors, whose sum is σ = 47827962. Its totient is φ = 47827960.

The previous prime is 47827951. The next prime is 47827979. The reversal of 47827961 is 16972874.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40704400 + 7123561 = 6380^2 + 2669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47827961 is a prime.

It is a super-3 number, since 3×478279613 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47827951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23913980 + 23913981.

It is an arithmetic number, because the mean of its divisors is an integer number (23913981).

Almost surely, 247827961 is an apocalyptic number.

It is an amenable number.

47827961 is a deficient number, since it is larger than the sum of its proper divisors (1).

47827961 is an equidigital number, since it uses as much as digits as its factorization.

47827961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 44.

The square root of 47827961 is about 6915.7762398736. The cubic root of 47827961 is about 362.9894104528.

The spelling of 47827961 in words is "forty-seven million, eight hundred twenty-seven thousand, nine hundred sixty-one".