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41013760 = 29537433
BaseRepresentation
bin1001110001110…
…1001000000000
32212011201022011
42130131020000
540444420020
64023022304
71005416434
oct234351000
985151264
1041013760
1121173277
121189a994
1386600c8
1456389c4
15390235a
hex271d200

41013760 has 80 divisors (see below), whose sum is σ = 101227896. Its totient is φ = 15925248.

The previous prime is 41013727. The next prime is 41013767. The reversal of 41013760 is 6731014.

It can be written as a sum of positive squares in 4 ways, for example, as 32993536 + 8020224 = 5744^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41013767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94504 + ... + 94936.

Almost surely, 241013760 is an apocalyptic number.

41013760 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 41013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50613948).

41013760 is an abundant number, since it is smaller than the sum of its proper divisors (60214136).

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

41013760 is an equidigital number, since it uses as much as digits as its factorization.

41013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 41013760 is about 6404.1986227787. The cubic root of 41013760 is about 344.8602949019.

Adding to 41013760 its reverse (6731014), we get a palindrome (47744774).

The spelling of 41013760 in words is "forty-one million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 433 512 592 640 740 866 1184 1280 1480 1732 2165 2368 2560 2960 3464 4330 4736 5920 6928 8660 9472 11840 13856 16021 17320 18944 23680 27712 32042 34640 47360 55424 64084 69280 80105 94720 110848 128168 138560 160210 221696 256336 277120 320420 512672 554240 640840 1025344 1108480 1281680 2050688 2563360 4101376 5126720 8202752 10253440 20506880 41013760