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42384048 = 2437126143
BaseRepresentation
bin1010000110101…
…1101010110000
32221202022222120
42201223222300
541322242143
64112234240
71023154440
oct241535260
987668876
1042384048
1121a19843
121223b980
138a1ca25
1458b4120
153ac3383
hex286bab0

42384048 has 40 divisors (see below), whose sum is σ = 125134848. Its totient is φ = 12109632.

The previous prime is 42384031. The next prime is 42384059. The reversal of 42384048 is 84048324.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62736 + ... + 63407.

Almost surely, 242384048 is an apocalyptic number.

42384048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42384048 is an abundant number, since it is smaller than the sum of its proper divisors (82750800).

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

42384048 is a wasteful number, since it uses less digits than its factorization.

42384048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126161 (or 126155 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 42384048 is about 6510.3032187449. The cubic root of 42384048 is about 348.6589443813.

The spelling of 42384048 in words is "forty-two million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 126143 252286 378429 504572 756858 883001 1009144 1513716 1766002 2018288 2649003 3027432 3532004 5298006 6054864 7064008 10596012 14128016 21192024 42384048