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48969984 = 28379109
BaseRepresentation
bin1011101011001…
…1100100000000
310102010221012010
42322303210000
5100014014414
64505332520
71133144430
oct272634400
9112127163
1048969984
1125707968
1214497140
13a1b762b
14670a2c0
154474959
hex2eb3900

48969984 has 72 divisors (see below), whose sum is σ = 148966720. Its totient is φ = 13989888.

The previous prime is 48969983. The next prime is 48970001. The reversal of 48969984 is 48996984.

It is not an unprimeable number, because it can be changed into a prime (48969983) by changing a digit.

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, 822 + ... + 9930.

Almost surely, 248969984 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 48969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74483360).

48969984 is an abundant number, since it is smaller than the sum of its proper divisors (99996736).

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

48969984 is an equidigital number, since it uses as much as digits as its factorization.

48969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135 (or 9121 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The square root of 48969984 is about 6997.8556715611. The cubic root of 48969984 is about 365.8558362025.

Subtracting 48969984 from its reverse (48996984), we obtain a cube (27000 = 303).

The spelling of 48969984 in words is "forty-eight million, nine hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 9109 18218 27327 36436 54654 63763 72872 109308 127526 145744 191289 218616 255052 291488 382578 437232 510104 582976 765156 874464 1020208 1165952 1530312 1748928 2040416 2331904 3060624 3497856 4080832 6121248 6995712 8161664 12242496 16323328 24484992 48969984