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36226064 = 2471811787
BaseRepresentation
bin1000101000110…
…0010000010000
32112011110211002
42022030100100
533233213224
63332241132
7616626230
oct212142020
975143732
1036226064
11194a31a6
12101701a8
137674b54
144b4dcc0
1532a89ae
hex228c410

36226064 has 40 divisors (see below), whose sum is σ = 80703168. Its totient is φ = 15431040.

The previous prime is 36226051. The next prime is 36226067. The reversal of 36226064 is 46062263.

It is not an unprimeable number, because it can be changed into a prime (36226067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19379 + ... + 21165.

Almost surely, 236226064 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 36226064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351584).

36226064 is an abundant number, since it is smaller than the sum of its proper divisors (44477104).

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

36226064 is a wasteful number, since it uses less digits than its factorization.

36226064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 36226064 is about 6018.8091845481. The cubic root of 36226064 is about 330.8824377211.

The spelling of 36226064 in words is "thirty-six million, two hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 1787 2534 2896 3574 5068 7148 10136 12509 14296 20272 25018 28592 50036 100072 200144 323447 646894 1293788 2264129 2587576 4528258 5175152 9056516 18113032 36226064