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48018096 = 243476779
BaseRepresentation
bin1011011100101…
…1001010110000
310100100120110000
42313023022300
544243034341
64433110000
71122101310
oct267131260
9110316400
1048018096
1125117785
12140b8300
139c43299
14653d440
1543378b6
hex2dcb2b0

48018096 has 200 divisors, whose sum is σ = 163243520. Its totient is φ = 13343616.

The previous prime is 48018079. The next prime is 48018109. The reversal of 48018096 is 69081084.

It is a happy number.

48018096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 48018096.

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 39 ways as a sum of consecutive naturals, for example, 607785 + ... + 607863.

Almost surely, 248018096 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 48018096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81621760).

48018096 is an abundant number, since it is smaller than the sum of its proper divisors (115225424).

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

48018096 is a wasteful number, since it uses less digits than its factorization.

48018096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 48018096 is about 6929.5090735203. The cubic root of 48018096 is about 363.4697831260.

The spelling of 48018096 in words is "forty-eight million, eighteen thousand, ninety-six".