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BaseRepresentation
bin10010001010001000000000
322221211120200
4102022020000
52204310224
6250005200
755313511
oct22121000
98854520
104760064
112761341
121716800
13ca880a
148bca08
156405c9
hex48a200

4760064 has 60 divisors (see below), whose sum is σ = 13751166. Its totient is φ = 1585152.

The previous prime is 4760047. The next prime is 4760069. The reversal of 4760064 is 4600674.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 1937664 = 1680^2 + 1392^2 .

It is not an unprimeable number, because it can be changed into a prime (4760069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4092 + ... + 5124.

Almost surely, 24760064 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 4760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875583).

4760064 is an abundant number, since it is smaller than the sum of its proper divisors (8991102).

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

4760064 is a wasteful number, since it uses less digits than its factorization.

4760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4760064 is about 2181.7570900538. The cubic root of 4760064 is about 168.2174056130.

The spelling of 4760064 in words is "four million, seven hundred sixty thousand, sixty-four".