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41316384 = 253479157
BaseRepresentation
bin1001110110011…
…1000000100000
32212202002102110
42131213000200
541034111014
64033315320
71011116634
oct235470040
985662373
1041316384
112135a67a
1211a05b40
138737a85
1456b6dc4
153961d59
hex2767020

41316384 has 48 divisors (see below), whose sum is σ = 110775168. Its totient is φ = 13477632.

The previous prime is 41316377. The next prime is 41316403. The reversal of 41316384 is 48361314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×413163843 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 9090.

It is an arithmetic number, because the mean of its divisors is an integer number (2307816).

Almost surely, 241316384 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 41316384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55387584).

41316384 is an abundant number, since it is smaller than the sum of its proper divisors (69458784).

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

41316384 is a wasteful number, since it uses less digits than its factorization.

41316384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9209 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 41316384 is about 6427.7821991726. The cubic root of 41316384 is about 345.7064122763.

Adding to 41316384 its reverse (48361314), we get a palindrome (89677698).

The spelling of 41316384 in words is "forty-one million, three hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 9157 18314 27471 36628 54942 73256 109884 146512 219768 293024 430379 439536 860758 879072 1291137 1721516 2582274 3443032 5164548 6886064 10329096 13772128 20658192 41316384