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5352705 = 325176997
BaseRepresentation
bin10100011010110100000001
3101001221112100
4110122310001
52332241310
6310421013
763332361
oct24326401
911057470
105352705
113026626
121961769
1311554a7
149d49a1
1570aec0
hex51ad01

5352705 has 24 divisors (see below), whose sum is σ = 9825192. Its totient is φ = 2686464.

The previous prime is 5352703. The next prime is 5352707. The reversal of 5352705 is 5072535.

It is an interprime number because it is at equal distance from previous prime (5352703) and next prime (5352707).

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 4626801 = 852^2 + 2151^2 .

It is not a de Polignac number, because 5352705 - 21 = 5352703 is a prime.

5352705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5352701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2734 + ... + 4263.

It is an arithmetic number, because the mean of its divisors is an integer number (409383).

Almost surely, 25352705 is an apocalyptic number.

It is an amenable number.

5352705 is a deficient number, since it is larger than the sum of its proper divisors (4472487).

5352705 is a wasteful number, since it uses less digits than its factorization.

5352705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5352705 is about 2313.5913640918. The cubic root of 5352705 is about 174.9273712222.

It can be divided in two parts, 535 and 2705, that added together give a triangular number (3240 = T80).

The spelling of 5352705 in words is "five million, three hundred fifty-two thousand, seven hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 6997 20991 34985 62973 104955 118949 314865 356847 594745 1070541 1784235 5352705