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36085056 = 263726849
BaseRepresentation
bin1000100110100…
…1110101000000
32111220022101120
42021221311000
533214210211
63325232240
7615501150
oct211516500
974808346
1036085056
1119407267
1210102680
137625907
144b14760
15327bd06
hex2269d40

36085056 has 56 divisors (see below), whose sum is σ = 109118400. Its totient is φ = 10309632.

The previous prime is 36085051. The next prime is 36085069. The reversal of 36085056 is 65058063.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36085051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12081 + ... + 14768.

Almost surely, 236085056 is an apocalyptic number.

It is an amenable number.

36085056 is an abundant number, since it is smaller than the sum of its proper divisors (73033344).

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

36085056 is a wasteful number, since it uses less digits than its factorization.

36085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26871 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 36085056 is about 6007.0838182932. The cubic root of 36085056 is about 330.4525654728.

The spelling of 36085056 in words is "thirty-six million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 26849 53698 80547 107396 161094 187943 214792 322188 375886 429584 563829 644376 751772 859168 1127658 1288752 1503544 1718336 2255316 2577504 3007088 4510632 5155008 6014176 9021264 12028352 18042528 36085056