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48048016 = 2431731327
BaseRepresentation
bin1011011101001…
…0011110010000
310100102002111011
42313102132100
544300014031
64433500304
71122254452
oct267223620
9110362434
1048048016
1125138205
1214111694
139c53aa3
14654a2d2
1543416b1
hex2dd2790

48048016 has 40 divisors (see below), whose sum is σ = 97485824. Its totient is φ = 22913280.

The previous prime is 48047971. The next prime is 48048059. The reversal of 48048016 is 61084084.

48048016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×480480162 = 4617223683072512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 7 ways as a sum of consecutive naturals, for example, 35545 + ... + 36871.

Almost surely, 248048016 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 48048016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48742912).

48048016 is an abundant number, since it is smaller than the sum of its proper divisors (49437808).

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

48048016 is a wasteful number, since it uses less digits than its factorization.

48048016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 48048016 is about 6931.6676204215. The cubic root of 48048016 is about 363.5452599348.

The spelling of 48048016 in words is "forty-eight million, forty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 73 124 146 248 292 496 584 1168 1327 2263 2654 4526 5308 9052 10616 18104 21232 36208 41137 82274 96871 164548 193742 329096 387484 658192 774968 1549936 3003001 6006002 12012004 24024008 48048016