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47712641 is a prime number
BaseRepresentation
bin1011011000000…
…0100110000001
310022210001102212
42312000212001
544203301031
64422351505
71116356624
oct266004601
9108701385
1047712641
1124a29239
1213b8b595
139b67242
14649ddbb
1542c712b
hex2d80981

47712641 has 2 divisors, whose sum is σ = 47712642. Its totient is φ = 47712640.

The previous prime is 47712619. The next prime is 47712653. The reversal of 47712641 is 14621774.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36954241 + 10758400 = 6079^2 + 3280^2 .

It is a cyclic number.

It is not a de Polignac number, because 47712641 - 222 = 43518337 is a prime.

It is a super-2 number, since 2×477126412 = 4552992222389762, which contains 22 as substring.

It is equal to p2871905 and since 47712641 and 2871905 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 47712598 and 47712607.

It is not a weakly prime, because it can be changed into another prime (47712601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23856320 + 23856321.

It is an arithmetic number, because the mean of its divisors is an integer number (23856321).

Almost surely, 247712641 is an apocalyptic number.

It is an amenable number.

47712641 is a deficient number, since it is larger than the sum of its proper divisors (1).

47712641 is an equidigital number, since it uses as much as digits as its factorization.

47712641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9408, while the sum is 32.

The square root of 47712641 is about 6907.4337492299. The cubic root of 47712641 is about 362.6974360060.

The spelling of 47712641 in words is "forty-seven million, seven hundred twelve thousand, six hundred forty-one".