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35007413 = 724211697
BaseRepresentation
bin1000010110001…
…0101110110101
32102212120010212
42011202232311
532430214123
63250155205
7603362300
oct205425665
972776125
1035007413
1118840651
12b882b05
13733925c
144913b37
153117878
hex2162bb5

35007413 has 12 divisors (see below), whose sum is σ = 40843692. Its totient is φ = 29917440.

The previous prime is 35007409. The next prime is 35007431. The reversal of 35007413 is 31470053.

It is a happy number.

35007413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15311569 + 19695844 = 3913^2 + 4438^2 .

It is not a de Polignac number, because 35007413 - 22 = 35007409 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35507413) 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 11 ways as a sum of consecutive naturals, for example, 19781 + ... + 21477.

It is an arithmetic number, because the mean of its divisors is an integer number (3403641).

Almost surely, 235007413 is an apocalyptic number.

It is an amenable number.

35007413 is a deficient number, since it is larger than the sum of its proper divisors (5836279).

35007413 is a wasteful number, since it uses less digits than its factorization.

35007413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 35007413 is about 5916.7062627783. The cubic root of 35007413 is about 327.1297231168.

Adding to 35007413 its reverse (31470053), we get a palindrome (66477466).

The spelling of 35007413 in words is "thirty-five million, seven thousand, four hundred thirteen".

Divisors: 1 7 49 421 1697 2947 11879 20629 83153 714437 5001059 35007413