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48327168 = 29373431
BaseRepresentation
bin1011100001011…
…0101000000000
310100221021102010
42320112220000
544332432133
64443452520
71124526351
oct270265000
9110837363
1048327168
1125308a0a
1214227140
13a020b76
1465bdd28
154399263
hex2e16a00

48327168 has 80 divisors (see below), whose sum is σ = 130813056. Its totient is φ = 15851520.

The previous prime is 48327121. The next prime is 48327173. The reversal of 48327168 is 86172384.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111913 + ... + 112343.

Almost surely, 248327168 is an apocalyptic number.

48327168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65406528).

48327168 is an abundant number, since it is smaller than the sum of its proper divisors (82485888).

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

48327168 is an equidigital number, since it uses as much as digits as its factorization.

48327168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 48327168 is about 6951.7744497358. The cubic root of 48327168 is about 364.2479492460.

The spelling of 48327168 in words is "forty-eight million, three hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 431 438 512 584 768 862 876 1168 1293 1536 1724 1752 2336 2586 3448 3504 4672 5172 6896 7008 9344 10344 13792 14016 18688 20688 27584 28032 31463 37376 41376 55168 56064 62926 82752 94389 110336 112128 125852 165504 188778 220672 251704 331008 377556 503408 662016 755112 1006816 1510224 2013632 3020448 4027264 6040896 8054528 12081792 16109056 24163584 48327168