[go: up one dir, main page]

Search a number
-
+
41480352 = 2532731973
BaseRepresentation
bin1001111000111…
…1000010100000
32220001102100100
42132033002200
541104332402
64041022400
71012401654
oct236170240
986042310
1041480352
1121461891
1211a84a00
1387945b4
14571aa64
15399571c
hex278f0a0

41480352 has 72 divisors (see below), whose sum is σ = 119636244. Its totient is φ = 13630464.

The previous prime is 41480317. The next prime is 41480389. The reversal of 41480352 is 25308414.

It can be written as a sum of positive squares in 2 ways, for example, as 40908816 + 571536 = 6396^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20038 + ... + 22010.

Almost surely, 241480352 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 41480352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59818122).

41480352 is an abundant number, since it is smaller than the sum of its proper divisors (78155892).

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

41480352 is a wasteful number, since it uses less digits than its factorization.

41480352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 41480352 is about 6440.5242022680. The cubic root of 41480352 is about 346.1631315572.

Adding to 41480352 its reverse (25308414), we get a palindrome (66788766).

The spelling of 41480352 in words is "forty-one million, four hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 1973 2336 2628 3504 3946 5256 5919 7008 7892 10512 11838 15784 17757 21024 23676 31568 35514 47352 63136 71028 94704 142056 144029 189408 284112 288058 432087 568224 576116 864174 1152232 1296261 1728348 2304464 2592522 3456696 4608928 5185044 6913392 10370088 13826784 20740176 41480352