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41834128 = 2473112049
BaseRepresentation
bin1001111110010…
…1011010010000
32220201101122011
42133211122100
541202143003
64052352304
71015404250
oct237453220
986641564
1041834128
1121683666
1212015694
13888962b
1457ad960
153a1546d
hex27e5690

41834128 has 40 divisors (see below), whose sum is σ = 95628800. Its totient is φ = 17349120.

The previous prime is 41834083. The next prime is 41834129. The reversal of 41834128 is 82143814.

41834128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 41834128.

It is not an unprimeable number, because it can be changed into a prime (41834129) 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, 2553 + ... + 9496.

It is an arithmetic number, because the mean of its divisors is an integer number (2390720).

Almost surely, 241834128 is an apocalyptic number.

It is an amenable number.

41834128 is an abundant number, since it is smaller than the sum of its proper divisors (53794672).

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

41834128 is a wasteful number, since it uses less digits than its factorization.

41834128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12089 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 41834128 is about 6467.9307355599. The cubic root of 41834128 is about 347.1444611624.

The spelling of 41834128 in words is "forty-one million, eight hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 12049 24098 48196 84343 96392 168686 192784 337372 373519 674744 747038 1349488 1494076 2614633 2988152 5229266 5976304 10458532 20917064 41834128