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48816500 = 2253891097
BaseRepresentation
bin1011101000111…
…0000101110100
310101212010122112
42322032011310
544444112000
64502150152
71131635105
oct272160564
9111763575
1048816500
1125612617
1214422358
13a162805
1466aa3ac
154444235
hex2e8e174

48816500 has 48 divisors (see below), whose sum is σ = 107911440. Its totient is φ = 19289600.

The previous prime is 48816499. The next prime is 48816517. The reversal of 48816500 is 561884.

48816500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29138404 + 19678096 = 5398^2 + 4436^2 .

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 15 ways as a sum of consecutive naturals, for example, 43952 + ... + 45048.

It is an arithmetic number, because the mean of its divisors is an integer number (2248155).

Almost surely, 248816500 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 48816500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955720).

48816500 is an abundant number, since it is smaller than the sum of its proper divisors (59094940).

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

48816500 is a wasteful number, since it uses less digits than its factorization.

48816500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 48816500 is about 6986.8805628836. The cubic root of 48816500 is about 365.4732087184.

The spelling of 48816500 in words is "forty-eight million, eight hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 890 1097 1780 2194 2225 4388 4450 5485 8900 10970 11125 21940 22250 27425 44500 54850 97633 109700 137125 195266 274250 390532 488165 548500 976330 1952660 2440825 4881650 9763300 12204125 24408250 48816500