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42384128 = 28179739
BaseRepresentation
bin1010000110101…
…1101100000000
32221202100002112
42201223230000
541322243003
64112234452
71023154613
oct241535400
987670075
1042384128
1121a19906
121223ba28
138a1ca87
1458b417a
153ac33d8
hex286bb00

42384128 has 36 divisors (see below), whose sum is σ = 89588520. Its totient is φ = 19943424.

The previous prime is 42384107. The next prime is 42384137. The reversal of 42384128 is 82148324.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42384094 and 42384103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (2488570).

Almost surely, 242384128 is an apocalyptic number.

It is an amenable number.

42384128 is an abundant number, since it is smaller than the sum of its proper divisors (47204392).

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

42384128 is an equidigital number, since it uses as much as digits as its factorization.

42384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9758 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 42384128 is about 6510.3093628490. The cubic root of 42384128 is about 348.6591637460.

The spelling of 42384128 in words is "forty-two million, three hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 9739 19478 38956 77912 155824 165563 311648 331126 623296 662252 1246592 1324504 2493184 2649008 5298016 10596032 21192064 42384128