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39048648 = 2331924507
BaseRepresentation
bin1001010011110…
…1010111001000
32201110212200020
42110331113020
534444024043
63512540440
7652623312
oct224752710
981425606
1039048648
1120050911
12110b1720
138122812
1452867b2
153664e83
hex253d5c8

39048648 has 48 divisors (see below), whose sum is σ = 103052880. Its totient is φ = 12328416.

The previous prime is 39048637. The next prime is 39048697. The reversal of 39048648 is 84684093.

39048648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 6411 + ... + 10917.

It is an arithmetic number, because the mean of its divisors is an integer number (2146935).

Almost surely, 239048648 is an apocalyptic number.

39048648 is a gapful number since it is divisible by the number (38) 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 39048648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51526440).

39048648 is an abundant number, since it is smaller than the sum of its proper divisors (64004232).

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

39048648 is a wasteful number, since it uses less digits than its factorization.

39048648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 39048648 is about 6248.8917417411. The cubic root of 39048648 is about 339.2620905456.

The spelling of 39048648 in words is "thirty-nine million, forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 4507 8664 9014 13521 18028 27042 36056 54084 85633 108168 171266 256899 342532 513798 685064 1027596 1627027 2055192 3254054 4881081 6508108 9762162 13016216 19524324 39048648