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5346288 = 2432137271
BaseRepresentation
bin10100011001001111110000
3101001121201200
4110121033300
52332040123
6310331200
763304563
oct24311760
911047650
105346288
113021822
121959b00
1311525ac
149d24da
15709143
hex5193f0

5346288 has 60 divisors (see below), whose sum is σ = 15127008. Its totient is φ = 1762560.

The previous prime is 5346287. The next prime is 5346307. The reversal of 5346288 is 8826435.

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 (5346283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19593 + ... + 19863.

Almost surely, 25346288 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 5346288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563504).

5346288 is an abundant number, since it is smaller than the sum of its proper divisors (9780720).

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

5346288 is a wasteful number, since it uses less digits than its factorization.

5346288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5346288 is about 2312.2041432365. The cubic root of 5346288 is about 174.8574403613.

The spelling of 5346288 in words is "five million, three hundred forty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 271 274 411 542 548 813 822 1084 1096 1233 1626 1644 2168 2192 2439 2466 3252 3288 4336 4878 4932 6504 6576 9756 9864 13008 19512 19728 37127 39024 74254 111381 148508 222762 297016 334143 445524 594032 668286 891048 1336572 1782096 2673144 5346288