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42385128 = 2333759809
BaseRepresentation
bin1010000110101…
…1111011101000
32221202101110120
42201223323220
541322311003
64112243240
71023160542
oct241537350
987671416
1042385128
1121a1a635
1212240520
138a20376
1458b4692
153ac3853
hex286bee8

42385128 has 64 divisors (see below), whose sum is σ = 110808000. Its totient is φ = 13496832.

The previous prime is 42385081. The next prime is 42385129. The reversal of 42385128 is 82158324.

It is not an unprimeable number, because it can be changed into a prime (42385129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51988 + ... + 52796.

It is an arithmetic number, because the mean of its divisors is an integer number (1731375).

Almost surely, 242385128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42385128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55404000).

42385128 is an abundant number, since it is smaller than the sum of its proper divisors (68422872).

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

42385128 is a wasteful number, since it uses less digits than its factorization.

42385128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 42385128 is about 6510.3861636619. The cubic root of 42385128 is about 348.6619057821.

The spelling of 42385128 in words is "forty-two million, three hundred eighty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 59 74 111 118 148 177 222 236 296 354 444 472 708 809 888 1416 1618 2183 2427 3236 4366 4854 6472 6549 8732 9708 13098 17464 19416 26196 29933 47731 52392 59866 89799 95462 119732 143193 179598 190924 239464 286386 359196 381848 572772 718392 1145544 1766047 3532094 5298141 7064188 10596282 14128376 21192564 42385128