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41212935 = 335305281
BaseRepresentation
bin1001110100110…
…1110000000111
32212112211112000
42131031300013
541022303220
64031200343
71010206221
oct235156007
985484460
1041212935
1121299985
12119760b3
1386cc96a
14568b411
153941390
hex274dc07

41212935 has 16 divisors (see below), whose sum is σ = 73267680. Its totient is φ = 21980160.

The previous prime is 41212933. The next prime is 41212943. The reversal of 41212935 is 53921214.

41212935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41212935 - 21 = 41212933 is a prime.

It is a super-2 number, since 2×412129352 = 3397012022628450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41212899 and 41212908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41212933) 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 15 ways as a sum of consecutive naturals, for example, 152506 + ... + 152775.

It is an arithmetic number, because the mean of its divisors is an integer number (4579230).

Almost surely, 241212935 is an apocalyptic number.

41212935 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41212935 is a deficient number, since it is larger than the sum of its proper divisors (32054745).

41212935 is a wasteful number, since it uses less digits than its factorization.

41212935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305295 (or 305289 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 41212935 is about 6419.7301345150. The cubic root of 41212935 is about 345.4176416656.

It can be divided in two parts, 412129 and 35, that added together give a square (412164 = 6422).

The spelling of 41212935 in words is "forty-one million, two hundred twelve thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 305281 915843 1526405 2747529 4579215 8242587 13737645 41212935