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48506000 = 245379307
BaseRepresentation
bin1011100100001…
…0010010010000
310101021100201112
42321002102100
544404143000
64451352452
71126202624
oct271022220
9111240645
1048506000
1125420304
12142b2728
13a08439a
146629184
1543d2235
hex2e42490

48506000 has 80 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 19094400.

The previous prime is 48505997. The next prime is 48506053. The reversal of 48506000 is 60584.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157847 + ... + 158153.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 248506000 is an apocalyptic number.

48506000 is a gapful number since it is divisible by the number (40) 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 48506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

48506000 is an abundant number, since it is smaller than the sum of its proper divisors (70653040).

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

48506000 is a wasteful number, since it uses less digits than its factorization.

48506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 48506000 is about 6964.6249001651. The cubic root of 48506000 is about 364.6966892870.

Adding to 48506000 its reverse (60584), we get a palindrome (48566584).

The spelling of 48506000 in words is "forty-eight million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 307 316 395 400 500 614 632 790 1000 1228 1264 1535 1580 1975 2000 2456 3070 3160 3950 4912 6140 6320 7675 7900 9875 12280 15350 15800 19750 24253 24560 30700 31600 38375 39500 48506 61400 76750 79000 97012 121265 122800 153500 158000 194024 242530 307000 388048 485060 606325 614000 970120 1212650 1940240 2425300 3031625 4850600 6063250 9701200 12126500 24253000 48506000