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28613312 = 26713173
BaseRepresentation
bin110110100100…
…1101011000000
31222211201002022
41231021223000
524311111222
62501141012
7465131510
oct155115300
958751068
1028613312
1115173672
1296ba768
135c0aa70
143b2b840
1527a3042
hex1b49ac0

28613312 has 112 divisors (see below), whose sum is σ = 74249280. Its totient is φ = 10653696.

The previous prime is 28613267. The next prime is 28613317. The reversal of 28613312 is 21331682.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (28613317) 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 15 ways as a sum of consecutive naturals, for example, 1683128 + ... + 1683144.

It is an arithmetic number, because the mean of its divisors is an integer number (662940).

Almost surely, 228613312 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 28613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37124640).

28613312 is an abundant number, since it is smaller than the sum of its proper divisors (45635968).

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

28613312 is an equidigital number, since it uses as much as digits as its factorization.

28613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 28613312 is about 5349.1412394888. The cubic root of 28613312 is about 305.8600182787.

Adding to 28613312 its reverse (21331682), we get a palindrome (49944994).

It can be divided in two parts, 28 and 613312, that multiplied together give a square (17172736 = 41442).

The spelling of 28613312 in words is "twenty-eight million, six hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 136 182 208 221 224 238 272 289 364 416 442 448 476 544 578 728 832 884 952 1088 1156 1456 1547 1768 1904 2023 2312 2912 3094 3536 3757 3808 4046 4624 4913 5824 6188 7072 7514 7616 8092 9248 9826 12376 14144 15028 16184 18496 19652 24752 26299 30056 32368 34391 39304 49504 52598 60112 63869 64736 68782 78608 99008 105196 120224 127738 129472 137564 157216 210392 240448 255476 275128 314432 420784 447083 510952 550256 841568 894166 1021904 1100512 1683136 1788332 2043808 2201024 3576664 4087616 7153328 14306656 28613312