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48045648 = 2437142993
BaseRepresentation
bin1011011101000…
…1111001010000
310100101222020110
42313101321100
544244430043
64433441320
71122244530
oct267217120
9110358213
1048045648
1125136452
1214110240
139c529a1
1465494c0
154340b33
hex2dd1e50

48045648 has 40 divisors (see below), whose sum is σ = 141850048. Its totient is φ = 13727232.

The previous prime is 48045637. The next prime is 48045649. The reversal of 48045648 is 84654084.

48045648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48045649) by changing a digit.

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, 71161 + ... + 71832.

Almost surely, 248045648 is an apocalyptic number.

48045648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48045648 is an abundant number, since it is smaller than the sum of its proper divisors (93804400).

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

48045648 is a wasteful number, since it uses less digits than its factorization.

48045648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143011 (or 143005 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 48045648 is about 6931.4968080495. The cubic root of 48045648 is about 363.5392875112.

The spelling of 48045648 in words is "forty-eight million, forty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 142993 285986 428979 571972 857958 1000951 1143944 1715916 2001902 2287888 3002853 3431832 4003804 6005706 6863664 8007608 12011412 16015216 24022824 48045648