Search a number
-
+
41082496 = 277133527
BaseRepresentation
bin1001110010110…
…1111010000000
32212022012120221
42130231322000
541004114441
64024312424
71006124020
oct234557200
985265527
1041082496
112120a984
1211912714
138685490
145655a80
1539178d1
hex272de80

41082496 has 64 divisors (see below), whose sum is σ = 100759680. Its totient is φ = 16247808.

The previous prime is 41082479. The next prime is 41082497. The reversal of 41082496 is 69428014.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (41082497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9885 + ... + 13411.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 241082496 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 41082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50379840).

41082496 is an abundant number, since it is smaller than the sum of its proper divisors (59677184).

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

41082496 is a wasteful number, since it uses less digits than its factorization.

41082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 41082496 is about 6409.5628556088. The cubic root of 41082496 is about 345.0528407477.

The spelling of 41082496 in words is "forty-one million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 3527 5824 7054 11648 14108 24689 28216 45851 49378 56432 91702 98756 112864 183404 197512 225728 320957 366808 395024 451456 641914 733616 790048 1283828 1467232 1580096 2567656 2934464 3160192 5135312 5868928 10270624 20541248 41082496