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42681546 = 2334767251
BaseRepresentation
bin1010001011010…
…0010011001010
32222022110002000
42202310103022
541411302141
64122451430
71025533665
oct242642312
988273060
1042681546
1122102306
1212363b76
138ac526b
1459506dc
153b315b6
hex28b44ca

42681546 has 64 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 13662000.

The previous prime is 42681539. The next prime is 42681547. The reversal of 42681546 is 64518624.

It is a self number, because there is not a number n which added to its sum of digits gives 42681546.

It is not an unprimeable number, because it can be changed into a prime (42681547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169921 + ... + 170171.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 242681546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42681546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

42681546 is an abundant number, since it is smaller than the sum of its proper divisors (56021814).

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

42681546 is a wasteful number, since it uses less digits than its factorization.

42681546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42681546 is about 6533.1115098397. Note that the first 3 decimals coincide. The cubic root of 42681546 is about 349.4728008453.

The spelling of 42681546 in words is "forty-two million, six hundred eighty-one thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 67 94 134 141 201 251 282 402 423 502 603 753 846 1206 1269 1506 1809 2259 2538 3149 3618 4518 6298 6777 9447 11797 13554 16817 18894 23594 28341 33634 35391 50451 56682 70782 85023 100902 106173 151353 170046 212346 302706 318519 454059 637038 790399 908118 1580798 2371197 4742394 7113591 14227182 21340773 42681546