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47988304 = 24713231433
BaseRepresentation
bin1011011100001…
…1111001010000
310100022001120121
42313003321100
544241111204
64432320024
71121615410
oct267037120
9110261517
1047988304
11250a7361
12140a3014
139c32860
146532640
15432db54
hex2dc3e50

47988304 has 80 divisors (see below), whose sum is σ = 119492352. Its totient is φ = 18146304.

The previous prime is 47988287. The next prime is 47988361. The reversal of 47988304 is 40388974.

47988304 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, 32772 + ... + 34204.

Almost surely, 247988304 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 47988304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59746176).

47988304 is an abundant number, since it is smaller than the sum of its proper divisors (71504048).

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

47988304 is a wasteful number, since it uses less digits than its factorization.

47988304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 47988304 is about 6927.3590927568. The cubic root of 47988304 is about 363.3945980541.

The spelling of 47988304 in words is "forty-seven million, nine hundred eighty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1433 1456 2093 2392 2576 2866 4186 4784 5732 8372 10031 11464 16744 18629 20062 22928 32959 33488 37258 40124 65918 74516 80248 130403 131836 149032 160496 230713 260806 263672 298064 428467 461426 521612 527344 856934 922852 1043224 1713868 1845704 2086448 2999269 3427736 3691408 5998538 6855472 11997076 23994152 47988304