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5109588 = 22331121723
BaseRepresentation
bin10011011111011101010100
3100121121001000
4103133131110
52302001323
6301303300
761300521
oct23373524
910547030
105109588
11297aa00
121864b30
13109b933
14970148
156ade43
hex4df754

5109588 has 144 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1393920.

The previous prime is 5109583. The next prime is 5109617. The reversal of 5109588 is 8859015.

It is a super-2 number, since 2×51095882 = 52215779059488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222145 + ... + 222167.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 25109588 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 5109588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

5109588 is an abundant number, since it is smaller than the sum of its proper divisors (10978092).

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

5109588 is a wasteful number, since it uses less digits than its factorization.

5109588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5109588 is about 2260.4397802198. The cubic root of 5109588 is about 172.2378627180.

The spelling of 5109588 in words is "five million, one hundred nine thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 27 33 34 36 44 46 51 54 66 68 69 92 99 102 108 121 132 138 153 187 198 204 207 242 253 276 297 306 363 374 391 396 414 459 484 506 561 594 612 621 726 748 759 782 828 918 1012 1089 1122 1173 1188 1242 1452 1518 1564 1683 1836 2057 2178 2244 2277 2346 2484 2783 3036 3267 3366 3519 4114 4301 4356 4554 4692 5049 5566 6171 6534 6732 6831 7038 8228 8349 8602 9108 10098 10557 11132 12342 12903 13068 13662 14076 16698 17204 18513 20196 21114 24684 25047 25806 27324 33396 37026 38709 42228 47311 50094 51612 55539 74052 75141 77418 94622 100188 111078 116127 141933 150282 154836 189244 222156 232254 283866 300564 425799 464508 567732 851598 1277397 1703196 2554794 5109588