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36228276 = 22337173277
BaseRepresentation
bin1000101000110…
…0110010110100
32112011120212000
42022030302310
533233301101
63332255300
7616635540
oct212146264
975146760
1036228276
11194a4927
1210171530
137675b66
144b50a20
1532a9486
hex228ccb4

36228276 has 96 divisors (see below), whose sum is σ = 108353280. Its totient is φ = 10253952.

The previous prime is 36228271. The next prime is 36228277. The reversal of 36228276 is 67282263.

36228276 is a `hidden beast` number, since 3 + 622 + 8 + 27 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36228276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36228271) 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 31 ways as a sum of consecutive naturals, for example, 130650 + ... + 130926.

It is an arithmetic number, because the mean of its divisors is an integer number (1128680).

Almost surely, 236228276 is an apocalyptic number.

36228276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36228276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54176640).

36228276 is an abundant number, since it is smaller than the sum of its proper divisors (72125004).

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

36228276 is a wasteful number, since it uses less digits than its factorization.

36228276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 36228276 is about 6018.9929390223. The cubic root of 36228276 is about 330.8891722558.

The spelling of 36228276 in words is "thirty-six million, two hundred twenty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 173 189 252 277 346 378 519 554 692 756 831 1038 1108 1211 1557 1662 1939 2076 2422 2493 3114 3324 3633 3878 4671 4844 4986 5817 6228 7266 7479 7756 9342 9972 10899 11634 14532 14958 17451 18684 21798 23268 29916 32697 34902 43596 47921 52353 65394 69804 95842 104706 130788 143763 191684 209412 287526 335447 431289 575052 670894 862578 1006341 1293867 1341788 1725156 2012682 2587734 3019023 4025364 5175468 6038046 9057069 12076092 18114138 36228276