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47648149 is a prime number
BaseRepresentation
bin1011010111000…
…0110110010101
310022122202222021
42311300312111
544144220044
64421133141
71116000613
oct265606625
9108582867
1047648149
112499483a
1213b5a1b1
139b43a93
1464846b3
1542b2e84
hex2d70d95

47648149 has 2 divisors, whose sum is σ = 47648150. Its totient is φ = 47648148.

The previous prime is 47648141. The next prime is 47648173. The reversal of 47648149 is 94184674.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47361924 + 286225 = 6882^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 47648149 - 23 = 47648141 is a prime.

It is a super-3 number, since 3×476481493 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p2868298 and since 47648149 and 2868298 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47648141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23824074 + 23824075.

It is an arithmetic number, because the mean of its divisors is an integer number (23824075).

Almost surely, 247648149 is an apocalyptic number.

It is an amenable number.

47648149 is a deficient number, since it is larger than the sum of its proper divisors (1).

47648149 is an equidigital number, since it uses as much as digits as its factorization.

47648149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 43.

The square root of 47648149 is about 6902.7638667421. The cubic root of 47648149 is about 362.5339459293.

The spelling of 47648149 in words is "forty-seven million, six hundred forty-eight thousand, one hundred forty-nine".