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4520064 = 27379149
BaseRepresentation
bin10001001111100010000000
322111122100210
4101033202000
52124120224
6240514120
753264013
oct21174200
98448323
104520064
112607a9a
12161b940
13c234c3
1485937a
155e4429
hex44f880

4520064 has 64 divisors (see below), whose sum is σ = 12240000. Its totient is φ = 1477632.

The previous prime is 4520063. The next prime is 4520069. The reversal of 4520064 is 4600254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4520064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4520063) 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, 30262 + ... + 30410.

It is an arithmetic number, because the mean of its divisors is an integer number (191250).

Almost surely, 24520064 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 4520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120000).

4520064 is an abundant number, since it is smaller than the sum of its proper divisors (7719936).

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

4520064 is a wasteful number, since it uses less digits than its factorization.

4520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4520064 is about 2126.0442140275. The cubic root of 4520064 is about 165.3413685539.

The spelling of 4520064 in words is "four million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 149 158 192 237 298 316 384 447 474 596 632 894 948 1192 1264 1788 1896 2384 2528 3576 3792 4768 5056 7152 7584 9536 10112 11771 14304 15168 19072 23542 28608 30336 35313 47084 57216 70626 94168 141252 188336 282504 376672 565008 753344 1130016 1506688 2260032 4520064