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47984118 = 23713233821
BaseRepresentation
bin1011011100001…
…0110111110110
310100021211211120
42313002313312
544240442433
64432244410
71121600250
oct267026766
9110254746
1047984118
11250a41a6
12140a0706
139c30990
146530cd0
15432c7b3
hex2dc2df6

47984118 has 64 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 12101760.

The previous prime is 47984099. The next prime is 47984119. The reversal of 47984118 is 81148974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47984118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47984119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10648 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 247984118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47984118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

47984118 is an abundant number, since it is smaller than the sum of its proper divisors (75298314).

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

47984118 is a wasteful number, since it uses less digits than its factorization.

47984118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869.

The product of its digits is 64512, while the sum is 42.

The square root of 47984118 is about 6927.0569508270. The cubic root of 47984118 is about 363.3840314931.

The spelling of 47984118 in words is "forty-seven million, nine hundred eighty-four thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 3821 4186 6279 7642 11463 12558 22926 26747 49673 53494 80241 87883 99346 149019 160482 175766 263649 298038 347711 527298 615181 695422 1043133 1142479 1230362 1845543 2086266 2284958 3427437 3691086 6854874 7997353 15994706 23992059 47984118