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36041768 = 237173131
BaseRepresentation
bin1000100101111…
…1010000101000
32111211010000022
42021133100220
533211314033
63324300012
7615231020
oct211372050
974733008
1036041768
1119387794
12100a1608
13760bcb9
144b02a80
15326e098
hex225f428

36041768 has 64 divisors (see below), whose sum is σ = 82684800. Its totient is φ = 14426880.

The previous prime is 36041767. The next prime is 36041771. The reversal of 36041768 is 86714063.

It is not an unprimeable number, because it can be changed into a prime (36041767) 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 15 ways as a sum of consecutive naturals, for example, 275063 + ... + 275193.

It is an arithmetic number, because the mean of its divisors is an integer number (1291950).

Almost surely, 236041768 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 36041768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41342400).

36041768 is an abundant number, since it is smaller than the sum of its proper divisors (46643032).

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

36041768 is a wasteful number, since it uses less digits than its factorization.

36041768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 36041768 is about 6003.4796576652. The cubic root of 36041768 is about 330.3203745139.

The spelling of 36041768 in words is "thirty-six million, forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 131 136 238 262 289 476 524 578 917 952 1048 1156 1834 2023 2227 2312 3668 4046 4454 4913 7336 8092 8908 9826 15589 16184 17816 19652 31178 34391 37859 39304 62356 68782 75718 124712 137564 151436 265013 275128 302872 530026 643603 1060052 1287206 2120104 2574412 4505221 5148824 9010442 18020884 36041768