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47887968 = 253498833
BaseRepresentation
bin1011011010101…
…1011001100000
310100002221221110
42312223121200
544224403333
64430223320
71121020032
oct266533140
9110087843
1047887968
1125038a37
1214054b40
139bc8c9b
146507c52
15430e063
hex2dab660

47887968 has 24 divisors (see below), whose sum is σ = 125706168. Its totient is φ = 15962624.

The previous prime is 47887949. The next prime is 47888003. The reversal of 47887968 is 86978874.

47887968 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 (24).

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 3 ways as a sum of consecutive naturals, for example, 249321 + ... + 249512.

It is an arithmetic number, because the mean of its divisors is an integer number (5237757).

Almost surely, 247887968 is an apocalyptic number.

47887968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47887968 is an abundant number, since it is smaller than the sum of its proper divisors (77818200).

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

47887968 is a wasteful number, since it uses less digits than its factorization.

47887968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498846 (or 498838 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The square root of 47887968 is about 6920.1132938703. The cubic root of 47887968 is about 363.1411543417.

The spelling of 47887968 in words is "forty-seven million, eight hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 498833 997666 1496499 1995332 2992998 3990664 5985996 7981328 11971992 15962656 23943984 47887968