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5329936 = 244361127
BaseRepresentation
bin10100010101010000010000
3101000210022001
4110111100100
52331024221
6310123344
763206113
oct24252020
911023261
105329936
113010507
121950554
131148011
149ca57a
15704391
hex515410

5329936 has 40 divisors (see below), whose sum is σ = 10824704. Its totient is φ = 2540160.

The previous prime is 5329931. The next prime is 5329967. The reversal of 5329936 is 6399235.

5329936 = T144 + T145 + ... + T326.

It is a super-3 number, since 3×53299363 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5329895 and 5329904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41905 + ... + 42031.

Almost surely, 25329936 is an apocalyptic number.

It is an amenable number.

5329936 is an abundant number, since it is smaller than the sum of its proper divisors (5494768).

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

5329936 is a wasteful number, since it uses less digits than its factorization.

5329936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its digits is 43740, while the sum is 37.

The square root of 5329936 is about 2308.6654153428. The cubic root of 5329936 is about 174.6789870169.

It can be divided in two parts, 53299 and 36, that added together give a palindrome (53335).

The spelling of 5329936 in words is "five million, three hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 43 61 86 122 127 172 244 254 344 488 508 688 976 1016 2032 2623 5246 5461 7747 10492 10922 15494 20984 21844 30988 41968 43688 61976 87376 123952 333121 666242 1332484 2664968 5329936