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48903984 = 2432479709
BaseRepresentation
bin1011101010001…
…1011100110000
310102000120122200
42322203130300
5100004411414
64504103200
71132451133
oct272433460
9112016580
1048903984
1125672318
1214464b00
13a19358c
1466d021a
154460109
hex2ea3730

48903984 has 60 divisors (see below), whose sum is σ = 137342400. Its totient is φ = 16244352.

The previous prime is 48903983. The next prime is 48903989. The reversal of 48903984 is 48930984.

It is a happy number.

48903984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48903983) 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 11 ways as a sum of consecutive naturals, for example, 68622 + ... + 69330.

It is an arithmetic number, because the mean of its divisors is an integer number (2289040).

Almost surely, 248903984 is an apocalyptic number.

It is an amenable number.

48903984 is an abundant number, since it is smaller than the sum of its proper divisors (88438416).

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

48903984 is a wasteful number, since it uses less digits than its factorization.

48903984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 48903984 is about 6993.1383512698. The cubic root of 48903984 is about 365.6913998188.

Subtracting 48903984 from its reverse (48930984), we obtain a cube (27000 = 303).

The spelling of 48903984 in words is "forty-eight million, nine hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 479 709 958 1418 1437 1916 2127 2836 2874 3832 4254 4311 5672 5748 6381 7664 8508 8622 11344 11496 12762 17016 17244 22992 25524 34032 34488 51048 68976 102096 339611 679222 1018833 1358444 2037666 2716888 3056499 4075332 5433776 6112998 8150664 12225996 16301328 24451992 48903984