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32068064 = 257239599
BaseRepresentation
bin111101001010…
…1000111100000
32020100020010002
41322111013200
531202134224
63103155132
7536400620
oct172250740
966306102
1032068064
1117113236
12a8a5aa8
13684a3b2
14438a880
152c369ae
hex1e951e0

32068064 has 48 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 13663104.

The previous prime is 32068061. The next prime is 32068087. The reversal of 32068064 is 46086023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32068061) 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, 53237 + ... + 53835.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 232068064 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 32068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

32068064 is an abundant number, since it is smaller than the sum of its proper divisors (40507936).

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

32068064 is a wasteful number, since it uses less digits than its factorization.

32068064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 32068064 is about 5662.8671183421. The cubic root of 32068064 is about 317.7051444599.

The spelling of 32068064 in words is "thirty-two million, sixty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 599 956 1198 1673 1912 2396 3346 3824 4193 4792 6692 7648 8386 9584 13384 16772 19168 26768 33544 53536 67088 134176 143161 286322 572644 1002127 1145288 2004254 2290576 4008508 4581152 8017016 16034032 32068064