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47963980 = 225191131117
BaseRepresentation
bin1011011011110…
…1111101001100
310100020211012201
42312331331030
544234321410
64432011244
71121454451
oct266757514
9110224181
1047963980
1125090059
1214090b24
139c2476c
146527828
15432683a
hex2dbdf4c

47963980 has 48 divisors (see below), whose sum is σ = 107059680. Its totient is φ = 17998848.

The previous prime is 47963977. The next prime is 47963989. The reversal of 47963980 is 8936974.

It is a self number, because there is not a number n which added to its sum of digits gives 47963980.

It is not an unprimeable number, because it can be changed into a prime (47963989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42382 + ... + 43498.

It is an arithmetic number, because the mean of its divisors is an integer number (2230410).

Almost surely, 247963980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47963980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53529840).

47963980 is an abundant number, since it is smaller than the sum of its proper divisors (59095700).

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

47963980 is a wasteful number, since it uses less digits than its factorization.

47963980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 47963980 is about 6925.6032228247. The cubic root of 47963980 is about 363.3331893125. Note that the first 3 decimals are identical.

The spelling of 47963980 in words is "forty-seven million, nine hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 1117 1130 2147 2234 2260 4294 4468 5585 8588 10735 11170 21223 21470 22340 42446 42940 84892 106115 126221 212230 252442 424460 504884 631105 1262210 2398199 2524420 4796398 9592796 11990995 23981990 47963980