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49989984 = 2531147339
BaseRepresentation
bin1011111010110…
…0100101100000
310111001202100220
42332230211200
5100244134414
64543243040
71144623252
oct276544540
9114052326
1049989984
1126244240
12148a9480
13a483995
1468d3cd2
1545c6ca9
hex2fac960

49989984 has 48 divisors (see below), whose sum is σ = 143156160. Its totient is φ = 15148160.

The previous prime is 49989983. The next prime is 49989991. The reversal of 49989984 is 48998994.

49989984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49989983) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22614 + ... + 24725.

It is an arithmetic number, because the mean of its divisors is an integer number (2982420).

Almost surely, 249989984 is an apocalyptic number.

49989984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

49989984 is an abundant number, since it is smaller than the sum of its proper divisors (93166176).

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

49989984 is a wasteful number, since it uses less digits than its factorization.

49989984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47363 (or 47355 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 49989984 is about 7070.3595382413. The cubic root of 49989984 is about 368.3785487149.

The spelling of 49989984 in words is "forty-nine million, nine hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 47339 94678 142017 189356 284034 378712 520729 568068 757424 1041458 1136136 1514848 1562187 2082916 2272272 3124374 4165832 4544544 6248748 8331664 12497496 16663328 24994992 49989984