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36538064 = 2419263457
BaseRepresentation
bin1000101101100…
…0011011010000
32112202022210122
42023120123100
533323204224
63343045412
7622365653
oct213303320
975668718
1036538064
1119696652
12102a0868
137753b74
144bd189a
15331b15e
hex22d86d0

36538064 has 40 divisors (see below), whose sum is σ = 74965440. Its totient is φ = 17203968.

The previous prime is 36538043. The next prime is 36538067. The reversal of 36538064 is 46083563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36538067) 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 7 ways as a sum of consecutive naturals, for example, 79724 + ... + 80180.

It is an arithmetic number, because the mean of its divisors is an integer number (1874136).

Almost surely, 236538064 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 36538064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37482720).

36538064 is an abundant number, since it is smaller than the sum of its proper divisors (38427376).

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

36538064 is a wasteful number, since it uses less digits than its factorization.

36538064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 36538064 is about 6044.6723649839. The cubic root of 36538064 is about 331.8296411516.

The spelling of 36538064 in words is "thirty-six million, five hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 263 304 457 526 914 1052 1828 2104 3656 4208 4997 7312 8683 9994 17366 19988 34732 39976 69464 79952 120191 138928 240382 480764 961528 1923056 2283629 4567258 9134516 18269032 36538064