Search a number
-
+
41849520 = 2435414253
BaseRepresentation
bin1001111110100…
…1001010110000
32220202011202020
42133221022300
541203141040
64052551440
71015500156
oct237511260
986664666
1041849520
1121694189
1212022580
13889363b
1457b53d6
153a19cd0
hex27e92b0

41849520 has 80 divisors (see below), whose sum is σ = 132928992. Its totient is φ = 10885120.

The previous prime is 41849503. The next prime is 41849567. The reversal of 41849520 is 2594814.

41849520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7714 + ... + 11966.

Almost surely, 241849520 is an apocalyptic number.

41849520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66464496).

41849520 is an abundant number, since it is smaller than the sum of its proper divisors (91079472).

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

41849520 is a wasteful number, since it uses less digits than its factorization.

41849520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 41849520 is about 6469.1204966363. The cubic root of 41849520 is about 347.1870308109.

The spelling of 41849520 in words is "forty-one million, eight hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4253 4920 8506 9840 12759 17012 21265 25518 34024 42530 51036 63795 68048 85060 102072 127590 170120 174373 204144 255180 340240 348746 510360 523119 697492 871865 1020720 1046238 1394984 1743730 2092476 2615595 2789968 3487460 4184952 5231190 6974920 8369904 10462380 13949840 20924760 41849520