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41435040 = 253586323
BaseRepresentation
bin1001111000001…
…1111110100000
32212222010012010
42132003332200
541101410130
64040032520
71012122603
oct236037640
985863163
1041435040
1121430839
1211a62740
138779a9a
14570833a
1539870b0
hex2783fa0

41435040 has 48 divisors (see below), whose sum is σ = 130521888. Its totient is φ = 11049216.

The previous prime is 41435039. The next prime is 41435041. The reversal of 41435040 is 4053414.

41435040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41435039) and next prime (41435041).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 41434998 and 41435016.

It is not an unprimeable number, because it can be changed into a prime (41435041) 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 7 ways as a sum of consecutive naturals, for example, 42682 + ... + 43641.

It is an arithmetic number, because the mean of its divisors is an integer number (2719206).

Almost surely, 241435040 is an apocalyptic number.

41435040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41435040 is an abundant number, since it is smaller than the sum of its proper divisors (89086848).

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

41435040 is a wasteful number, since it uses less digits than its factorization.

41435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86341 (or 86333 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 41435040 is about 6437.0055149891. The cubic root of 41435040 is about 346.0370392593.

Adding to 41435040 its reverse (4053414), we get a palindrome (45488454).

The spelling of 41435040 in words is "forty-one million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 86323 172646 258969 345292 431615 517938 690584 863230 1035876 1294845 1381168 1726460 2071752 2589690 2762336 3452920 4143504 5179380 6905840 8287008 10358760 13811680 20717520 41435040