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41794080 = 253587071
BaseRepresentation
bin1001111101101…
…1101000100000
32220122100200220
42133123220200
541144402310
64051443040
71015146426
oct237335040
986570626
1041794080
1121656569
1211bb6480
138874333
14579d116
153a08670
hex27dba20

41794080 has 48 divisors (see below), whose sum is σ = 131652864. Its totient is φ = 11144960.

The previous prime is 41794073. The next prime is 41794087. The reversal of 41794080 is 8049714.

41794080 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 (41794073) and next prime (41794087).

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (41794087) 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, 43056 + ... + 44015.

It is an arithmetic number, because the mean of its divisors is an integer number (2742768).

Almost surely, 241794080 is an apocalyptic number.

41794080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41794080 is an abundant number, since it is smaller than the sum of its proper divisors (89858784).

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

41794080 is a wasteful number, since it uses less digits than its factorization.

41794080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87089 (or 87081 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 41794080 is about 6464.8341046001. The cubic root of 41794080 is about 347.0336514743.

The spelling of 41794080 in words is "forty-one million, seven hundred ninety-four thousand, eighty".

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 87071 174142 261213 348284 435355 522426 696568 870710 1044852 1306065 1393136 1741420 2089704 2612130 2786272 3482840 4179408 5224260 6965680 8358816 10448520 13931360 20897040 41794080