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36218028 = 223711192063
BaseRepresentation
bin1000101000101…
…0010010101100
32112011001210110
42022022102230
533232434103
63332140020
7616563630
oct212122254
975131713
1036218028
1119498160
1210167610
1376712b2
144b4adc0
1532a6403
hex228a4ac

36218028 has 96 divisors (see below), whose sum is σ = 110960640. Its totient is φ = 8907840.

The previous prime is 36217991. The next prime is 36218029. The reversal of 36218028 is 82081263.

It is a junction number, because it is equal to n+sod(n) for n = 36217986 and 36218004.

It is not an unprimeable number, because it can be changed into a prime (36218029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16525 + ... + 18587.

It is an arithmetic number, because the mean of its divisors is an integer number (1155840).

Almost surely, 236218028 is an apocalyptic number.

36218028 is a gapful number since it is divisible by the number (38) 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 36218028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55480320).

36218028 is an abundant number, since it is smaller than the sum of its proper divisors (74742612).

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

36218028 is a wasteful number, since it uses less digits than its factorization.

36218028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36218028 is about 6018.1415736089. The cubic root of 36218028 is about 330.8579694459.

The spelling of 36218028 in words is "thirty-six million, two hundred eighteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2063 2508 2926 4126 4389 5852 6189 8252 8778 12378 14441 17556 22693 24756 28882 39197 43323 45386 57764 68079 78394 86646 90772 117591 136158 156788 158851 173292 235182 272316 274379 317702 431167 470364 476553 548758 635404 823137 862334 953106 1097516 1293501 1646274 1724668 1906212 2587002 3018169 3292548 5174004 6036338 9054507 12072676 18109014 36218028