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48064040 = 2351201601
BaseRepresentation
bin1011011101011…
…0011000101000
310100102220110122
42313112120220
544301022130
64434102412
71122352253
oct267263050
9110386418
1048064040
1125149252
121411aa08
139c5b17b
14655209a
1543462e5
hex2dd6628

48064040 has 16 divisors (see below), whose sum is σ = 108144180. Its totient is φ = 19225600.

The previous prime is 48064001. The next prime is 48064069. The reversal of 48064040 is 4046084.

48064040 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 2 ways, for example, as 47582404 + 481636 = 6898^2 + 694^2 .

It is a super-3 number, since 3×480640403 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 600761 + ... + 600840.

Almost surely, 248064040 is an apocalyptic number.

48064040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48064040 is an abundant number, since it is smaller than the sum of its proper divisors (60080140).

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

48064040 is a wasteful number, since it uses less digits than its factorization.

48064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201612 (or 1201608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 48064040 is about 6932.8233786820. The cubic root of 48064040 is about 363.5856695240.

The spelling of 48064040 in words is "forty-eight million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1201601 2403202 4806404 6008005 9612808 12016010 24032020 48064040