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27286812 = 223271941139
BaseRepresentation
bin110100000010…
…1110100011100
31220100022110200
41220011310130
523441134222
62412503500
7450635250
oct150056434
956308420
1027286812
1114447a93
12917ab90
135865057
1438a4260
1525deeac
hex1a05d1c

27286812 has 144 divisors (see below), whose sum is σ = 85612800. Its totient is φ = 7153920.

The previous prime is 27286807. The next prime is 27286813. The reversal of 27286812 is 21868272.

It is a happy number.

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 (27286813) 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 47 ways as a sum of consecutive naturals, for example, 196239 + ... + 196377.

Almost surely, 227286812 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 27286812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42806400).

27286812 is an abundant number, since it is smaller than the sum of its proper divisors (58325988).

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

27286812 is a wasteful number, since it uses less digits than its factorization.

27286812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 27286812 is about 5223.6780145794. The cubic root of 27286812 is about 301.0585273401.

The spelling of 27286812 in words is "twenty-seven million, two hundred eighty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 41 42 57 63 76 82 84 114 123 126 133 139 164 171 228 246 252 266 278 287 342 369 399 417 492 532 556 574 684 738 779 798 834 861 973 1148 1197 1251 1476 1558 1596 1668 1722 1946 2337 2394 2502 2583 2641 2919 3116 3444 3892 4674 4788 5004 5166 5282 5453 5699 5838 7011 7923 8757 9348 10332 10564 10906 11398 11676 14022 15846 16359 17097 17514 18487 21812 22796 23769 28044 31692 32718 34194 35028 36974 39893 47538 49077 51291 55461 65436 68388 73948 79786 95076 98154 102582 108281 110922 119679 159572 166383 196308 205164 216562 221844 239358 324843 332766 359037 433124 478716 649686 665532 718074 757967 974529 1299372 1436148 1515934 1949058 2273901 3031868 3898116 4547802 6821703 9095604 13643406 27286812