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47989984 = 257316911
BaseRepresentation
bin1011011100010…
…0010011100000
310100022010212211
42313010103200
544241134414
64432331504
71121623330
oct267042340
9110263784
1047989984
11250a8649
12140a3b94
139c33553
1465330c0
15432e3c4
hex2dc44e0

47989984 has 48 divisors (see below), whose sum is σ = 111476736. Its totient is φ = 19900800.

The previous prime is 47989979. The next prime is 47990003. The reversal of 47989984 is 48998974.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3489 + ... + 10399.

It is an arithmetic number, because the mean of its divisors is an integer number (2322432).

Almost surely, 247989984 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 47989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738368).

47989984 is an abundant number, since it is smaller than the sum of its proper divisors (63486752).

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

47989984 is a wasteful number, since it uses less digits than its factorization.

47989984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959 (or 6951 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 58.

The square root of 47989984 is about 6927.4803500263. The cubic root of 47989984 is about 363.3988386415.

The spelling of 47989984 in words is "forty-seven million, nine hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6911 6944 13822 27644 48377 55288 96754 110576 193508 214241 221152 387016 428482 774032 856964 1499687 1548064 1713928 2999374 3427856 5998748 6855712 11997496 23994992 47989984