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47105431 = 971812683
BaseRepresentation
bin1011001110110…
…0010110010111
310021122012111121
42303230112113
544024333211
64401344411
71111250422
oct263542627
9107565447
1047105431
112465400a
1213938107
1399b3a49
1463829b9
154207271
hex2cec597

47105431 has 8 divisors (see below), whose sum is σ = 47871824. Its totient is φ = 46344960.

The previous prime is 47105417. The next prime is 47105473. The reversal of 47105431 is 13450174.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 47105431 - 217 = 46974359 is a prime.

It is a super-3 number, since 3×471054313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47105396 and 47105405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47105131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16216 + ... + 18898.

It is an arithmetic number, because the mean of its divisors is an integer number (5983978).

Almost surely, 247105431 is an apocalyptic number.

47105431 is a deficient number, since it is larger than the sum of its proper divisors (766393).

47105431 is a wasteful number, since it uses less digits than its factorization.

47105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 47105431 is about 6863.3396389804. The cubic root of 47105431 is about 361.1522519824.

The spelling of 47105431 in words is "forty-seven million, one hundred five thousand, four hundred thirty-one".

Divisors: 1 97 181 2683 17557 260251 485623 47105431