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41001534 = 2327329229
BaseRepresentation
bin1001110001101…
…0001000111110
32212011002112100
42130122020332
540444022114
64022445530
71005336000
oct234321076
985132470
1041001534
1121165072
12118938a6
138657682
145634370
1538ed909
hex271a23e

41001534 has 96 divisors (see below), whose sum is σ = 107640000. Its totient is φ = 11261376.

The previous prime is 41001533. The next prime is 41001547. The reversal of 41001534 is 43510014.

It is a happy number.

41001534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410015342 = 3362251580706312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001533) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 178932 + ... + 179160.

It is an arithmetic number, because the mean of its divisors is an integer number (1121250).

Almost surely, 241001534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41001534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820000).

41001534 is an abundant number, since it is smaller than the sum of its proper divisors (66638466).

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

41001534 is a wasteful number, since it uses less digits than its factorization.

41001534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41001534 is about 6403.2440215878. The cubic root of 41001534 is about 344.8260244442.

Adding to 41001534 its reverse (43510014), we get a palindrome (84511548).

The spelling of 41001534 in words is "forty-one million, one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 229 261 294 343 406 441 458 522 609 686 687 882 1029 1218 1374 1421 1603 1827 2058 2061 2842 3087 3206 3654 4122 4263 4809 6174 6641 8526 9618 9947 11221 12789 13282 14427 19894 19923 22442 25578 28854 29841 33663 39846 46487 59682 59769 67326 78547 89523 92974 100989 119538 139461 157094 179046 201978 235641 278922 325409 418383 471282 650818 706923 836766 976227 1413846 1952454 2277863 2928681 4555726 5857362 6833589 13667178 20500767 41001534