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47016 = 2332653
BaseRepresentation
bin1011011110101000
32101111100
423132220
53001031
61001400
7254034
oct133650
971440
1047016
1132362
1223260
1318528
14131c4
15dde6
hexb7a8

47016 has 24 divisors (see below), whose sum is σ = 127530. Its totient is φ = 15648.

The previous prime is 46997. The next prime is 47017. The reversal of 47016 is 61074.

47016 = T45 + T46 + ... + T71.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 2916 = 210^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 42 + 73 + 0 + 1 + 66 .

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 47016.

It is not an unprimeable number, because it can be changed into a prime (47017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255 + ... + 398.

247016 is an apocalyptic number.

It is an amenable number.

47016 is an abundant number, since it is smaller than the sum of its proper divisors (80514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47016 is a wasteful number, since it uses less digits than its factorization.

47016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 47016 is about 216.8317319951. The cubic root of 47016 is about 36.0923554586.

The spelling of 47016 in words is "forty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 653 1306 1959 2612 3918 5224 5877 7836 11754 15672 23508 47016