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41895040 = 275112541
BaseRepresentation
bin1001111111010…
…0010010000000
32220211111012011
42133310102000
541211120130
64053542304
71016046655
oct237642200
986744164
1041895040
1121715400
1212044994
1388ab285
1457c7c2c
153a2852a
hex27f4480

41895040 has 96 divisors (see below), whose sum is σ = 110291580. Its totient is φ = 15206400.

The previous prime is 41895023. The next prime is 41895047. The reversal of 41895040 is 4059814.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41267776 + 627264 = 6424^2 + 792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41894993 and 41895011.

It is not an unprimeable number, because it can be changed into a prime (41895047) by changing a digit.

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, 77170 + ... + 77710.

Almost surely, 241895040 is an apocalyptic number.

41895040 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 41895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55145790).

41895040 is an abundant number, since it is smaller than the sum of its proper divisors (68396540).

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

41895040 is a wasteful number, since it uses less digits than its factorization.

41895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 41895040 is about 6472.6377930485. The cubic root of 41895040 is about 347.3128644093.

It can be divided in two parts, 4189 and 5040, that added together give a palindrome (9229).

The spelling of 41895040 in words is "forty-one million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 541 605 640 704 880 968 1082 1210 1408 1760 1936 2164 2420 2705 3520 3872 4328 4840 5410 5951 7040 7744 8656 9680 10820 11902 15488 17312 19360 21640 23804 29755 34624 38720 43280 47608 59510 65461 69248 77440 86560 95216 119020 130922 173120 190432 238040 261844 327305 346240 380864 476080 523688 654610 761728 952160 1047376 1309220 1904320 2094752 2618440 3808640 4189504 5236880 8379008 10473760 20947520 41895040