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27828450 = 23252136771
BaseRepresentation
bin110101000101…
…0000011100010
31221100211110100
41222022003202
524111002300
62432243230
7455352336
oct152120342
957324410
1027828450
1114787a21
1293a0516
1359c4750
1439a57c6
15269a700
hex1a8a0e2

27828450 has 144 divisors (see below), whose sum is σ = 82869696. Its totient is φ = 6652800.

The previous prime is 27828433. The next prime is 27828457. The reversal of 27828450 is 5482872.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27828457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391915 + ... + 391985.

It is an arithmetic number, because the mean of its divisors is an integer number (575484).

Almost surely, 227828450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27828450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41434848).

27828450 is an abundant number, since it is smaller than the sum of its proper divisors (55041246).

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

27828450 is a wasteful number, since it uses less digits than its factorization.

27828450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 27828450 is about 5275.2677657158. The cubic root of 27828450 is about 303.0374753504.

The spelling of 27828450 in words is "twenty-seven million, eight hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 67 71 75 78 90 117 130 134 142 150 195 201 213 225 234 325 335 355 390 402 426 450 585 603 639 650 670 710 871 923 975 1005 1065 1170 1206 1278 1675 1742 1775 1846 1950 2010 2130 2613 2769 2925 3015 3195 3350 3550 4355 4615 4757 5025 5226 5325 5538 5850 6030 6390 7839 8307 8710 9230 9514 10050 10650 13065 13845 14271 15075 15678 15975 16614 21775 23075 23785 26130 27690 28542 30150 31950 39195 41535 42813 43550 46150 47570 61841 65325 69225 71355 78390 83070 85626 118925 123682 130650 138450 142710 185523 195975 207675 214065 237850 309205 356775 371046 391950 415350 428130 556569 618410 713550 927615 1070325 1113138 1546025 1855230 2140650 2782845 3092050 4638075 5565690 9276150 13914225 27828450