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5259324 = 22371729127
BaseRepresentation
bin10100000100000000111100
3100220012102210
4110010000330
52321244244
6304420420
762463210
oct24040074
910805383
105259324
112a72454
121917710
131121b35
149ac940
156dd4b9
hex50403c

5259324 has 96 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1354752.

The previous prime is 5259323. The next prime is 5259329. The reversal of 5259324 is 4239525.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5 + 220 + 56 + 92 + 36 + 222 + 4 .

It is a junction number, because it is equal to n+sod(n) for n = 5259291 and 5259300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259323) 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 31 ways as a sum of consecutive naturals, for example, 41349 + ... + 41475.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 25259324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5259324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

5259324 is an abundant number, since it is smaller than the sum of its proper divisors (10223556).

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

5259324 is a wasteful number, since it uses less digits than its factorization.

5259324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 5259324 is about 2293.3216084972. The cubic root of 5259324 is about 173.9041617819.

The spelling of 5259324 in words is "five million, two hundred fifty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 127 174 203 204 238 254 348 357 381 406 476 493 508 609 714 762 812 889 986 1218 1428 1479 1524 1778 1972 2159 2436 2667 2958 3451 3556 3683 4318 5334 5916 6477 6902 7366 8636 10353 10668 11049 12954 13804 14732 15113 20706 22098 25781 25908 30226 41412 44196 45339 51562 60452 62611 77343 90678 103124 125222 154686 181356 187833 250444 309372 375666 438277 751332 876554 1314831 1753108 2629662 5259324