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47987000 = 2353471021
BaseRepresentation
bin1011011100001…
…1100100111000
310100021222210022
42313003210320
544241041000
64432310012
71121611535
oct267034470
9110258708
1047987000
11250a6386
12140a2308
139c32099
146531d8c
15432d585
hex2dc3938

47987000 has 64 divisors (see below), whose sum is σ = 114791040. Its totient is φ = 18768000.

The previous prime is 47986963. The next prime is 47987021. The reversal of 47987000 is 78974.

47987000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46490 + ... + 47510.

It is an arithmetic number, because the mean of its divisors is an integer number (1793610).

Almost surely, 247987000 is an apocalyptic number.

47987000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57395520).

47987000 is an abundant number, since it is smaller than the sum of its proper divisors (66804040).

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

47987000 is a wasteful number, since it uses less digits than its factorization.

47987000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 47987000 is about 6927.2649725559. The cubic root of 47987000 is about 363.3913064822.

The spelling of 47987000 in words is "forty-seven million, nine hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1021 1175 1880 2042 2350 4084 4700 5105 5875 8168 9400 10210 11750 20420 23500 25525 40840 47000 47987 51050 95974 102100 127625 191948 204200 239935 255250 383896 479870 510500 959740 1021000 1199675 1919480 2399350 4798700 5998375 9597400 11996750 23993500 47987000