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47007961 = 71113151311
BaseRepresentation
bin1011001101010…
…0100011011001
310021110020210121
42303110203121
544013223321
64355313241
71110363310
oct263244331
9107406717
1047007961
1124597860
12138ab821
13997b580
146359277
1541d8441
hex2cd48d9

47007961 has 32 divisors (see below), whose sum is σ = 63737856. Its totient is φ = 33480000.

The previous prime is 47007959. The next prime is 47007967. The reversal of 47007961 is 16970074.

47007961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 47007961 - 21 = 47007959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47007967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150996 + ... + 151306.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 247007961 is an apocalyptic number.

It is an amenable number.

47007961 is a deficient number, since it is larger than the sum of its proper divisors (16729895).

47007961 is a wasteful number, since it uses less digits than its factorization.

47007961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 47007961 is about 6856.2351914152. The cubic root of 47007961 is about 360.9029826539.

The spelling of 47007961 in words is "forty-seven million, seven thousand, nine hundred sixty-one".

Divisors: 1 7 11 13 77 91 143 151 311 1001 1057 1661 1963 2177 3421 4043 11627 13741 21593 23947 28301 44473 46961 151151 311311 328727 516571 610493 3615997 4273451 6715423 47007961