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41585401 = 1121326437
BaseRepresentation
bin1001111010100…
…0101011111001
32220020202110001
42132220223321
541121213101
64043153001
71013320144
oct236505371
986222401
1041585401
1121523800
1211b15761
138800360
14574705b
1539b6901
hex27a8af9

41585401 has 12 divisors (see below), whose sum is σ = 49227556. Its totient is φ = 34895520.

The previous prime is 41585389. The next prime is 41585413. The reversal of 41585401 is 10458514.

It is an interprime number because it is at equal distance from previous prime (41585389) and next prime (41585413).

It can be written as a sum of positive squares in 2 ways, for example, as 20241001 + 21344400 = 4499^2 + 4620^2 .

It is not a de Polignac number, because 41585401 - 213 = 41577209 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41585401.

It is not an unprimeable number, because it can be changed into a prime (41585441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11646 + ... + 14791.

Almost surely, 241585401 is an apocalyptic number.

It is an amenable number.

41585401 is a deficient number, since it is larger than the sum of its proper divisors (7642155).

41585401 is a wasteful number, since it uses less digits than its factorization.

41585401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26472 (or 26461 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 41585401 is about 6448.6743598975. The cubic root of 41585401 is about 346.4551046225.

It can be divided in two parts, 4158 and 5401, that added together give a palindrome (9559).

The spelling of 41585401 in words is "forty-one million, five hundred eighty-five thousand, four hundred one".

Divisors: 1 11 13 121 143 1573 26437 290807 343681 3198877 3780491 41585401