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47180961 = 343491669
BaseRepresentation
bin1011001111111…
…0110010100001
310021210001010000
42303332302201
544034242321
64403130213
71112013552
oct263766241
9107701100
1047180961
11246a5833
1213973969
139a0c239
1463a2329
15421e826
hex2cfeca1

47180961 has 20 divisors (see below), whose sum is σ = 70724500. Its totient is φ = 31345056.

The previous prime is 47180953. The next prime is 47180983. The reversal of 47180961 is 16908174.

It can be written as a sum of positive squares in 2 ways, for example, as 30041361 + 17139600 = 5481^2 + 4140^2 .

It is not a de Polignac number, because 47180961 - 23 = 47180953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47180951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27435 + ... + 29103.

It is an arithmetic number, because the mean of its divisors is an integer number (3536225).

Almost surely, 247180961 is an apocalyptic number.

It is an amenable number.

47180961 is a deficient number, since it is larger than the sum of its proper divisors (23543539).

47180961 is a wasteful number, since it uses less digits than its factorization.

47180961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 47180961 is about 6868.8398583749. The cubic root of 47180961 is about 361.3451756905.

The spelling of 47180961 in words is "forty-seven million, one hundred eighty thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 349 1047 1669 3141 5007 9423 15021 28269 45063 135189 582481 1747443 5242329 15726987 47180961