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41012440 = 2357712063
BaseRepresentation
bin1001110001110…
…0110011011000
32212011122111021
42130130303120
540444344230
64023012224
71005412540
oct234346330
985148437
1041012440
1121172287
121189a074
13865c621
145638320
153901c7a
hex271ccd8

41012440 has 64 divisors (see below), whose sum is σ = 106997760. Its totient is φ = 13856640.

The previous prime is 41012429. The next prime is 41012443. The reversal of 41012440 is 4421014.

41012440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41012443) 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 15 ways as a sum of consecutive naturals, for example, 18849 + ... + 20911.

It is an arithmetic number, because the mean of its divisors is an integer number (1671840).

Almost surely, 241012440 is an apocalyptic number.

41012440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53498880).

41012440 is an abundant number, since it is smaller than the sum of its proper divisors (65985320).

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

41012440 is a wasteful number, since it uses less digits than its factorization.

41012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 41012440 is about 6404.0955645587. The cubic root of 41012440 is about 344.8565951641.

Adding to 41012440 its reverse (4421014), we get a palindrome (45433454).

The spelling of 41012440 in words is "forty-one million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2063 2485 2840 3976 4126 4970 8252 9940 10315 14441 16504 19880 20630 28882 41260 57764 72205 82520 115528 144410 146473 288820 292946 577640 585892 732365 1025311 1171784 1464730 2050622 2929460 4101244 5126555 5858920 8202488 10253110 20506220 41012440