Search a number
-
+
41000512 = 267711289
BaseRepresentation
bin1001110001100…
…1111001000000
32212011001010111
42130121321000
540444004022
64022441104
71005333010
oct234317100
985131114
1041000512
1121164323
1211893194
138657077
145633c40
1538ed477
hex2719e40

41000512 has 56 divisors (see below), whose sum is σ = 94366080. Its totient is φ = 17310720.

The previous prime is 41000483. The next prime is 41000521. The reversal of 41000512 is 21500014.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 41000492 and 41000501.

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 7 ways as a sum of consecutive naturals, for example, 31164 + ... + 32452.

Almost surely, 241000512 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 41000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47183040).

41000512 is an abundant number, since it is smaller than the sum of its proper divisors (53365568).

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

41000512 is a wasteful number, since it uses less digits than its factorization.

41000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 41000512 is about 6403.1642177911. The cubic root of 41000512 is about 344.8231593878.

Adding to 41000512 its reverse (21500014), we get a palindrome (62500526).

The spelling of 41000512 in words is "forty-one million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1289 1988 2272 2578 3976 4544 5156 7952 9023 10312 15904 18046 20624 31808 36092 41248 72184 82496 91519 144368 183038 288736 366076 577472 640633 732152 1281266 1464304 2562532 2928608 5125064 5857216 10250128 20500256 41000512