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41920578 = 234725281
BaseRepresentation
bin1001111111101…
…0100001000010
32220212210020000
42133322201002
541212424303
64054300430
71016214300
oct237724102
986783200
1041920578
1121732607
1212057716
1388b9a9b
1457d3270
153a30da3
hex27fa842

41920578 has 60 divisors (see below), whose sum is σ = 109289862. Its totient is φ = 11975040.

The previous prime is 41920577. The next prime is 41920579. The reversal of 41920578 is 87502914.

41920578 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 (41920577) and next prime (41920579).

It can be written as a sum of positive squares in only one way, i.e., 40487769 + 1432809 = 6363^2 + 1197^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41920577) 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 29 ways as a sum of consecutive naturals, for example, 5298 + ... + 10578.

Almost surely, 241920578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41920578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54644931).

41920578 is an abundant number, since it is smaller than the sum of its proper divisors (67369284).

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

41920578 is a wasteful number, since it uses less digits than its factorization.

41920578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 41920578 is about 6474.6102585407. The cubic root of 41920578 is about 347.3834206877.

The spelling of 41920578 in words is "forty-one million, nine hundred twenty thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 5281 7938 10562 15843 31686 36967 47529 73934 95058 110901 142587 221802 258769 285174 332703 427761 517538 665406 776307 855522 998109 1552614 1996218 2328921 2994327 4657842 5988654 6986763 13973526 20960289 41920578