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5040064 = 26611291
BaseRepresentation
bin10011001110011111000000
3100111001200001
4103032133000
52242240224
6300005344
760561031
oct23163700
910431601
105040064
112932747
121830854
1310760b3
14952a88
15698544
hex4ce7c0

5040064 has 28 divisors (see below), whose sum is σ = 10173208. Its totient is φ = 2476800.

The previous prime is 5040053. The next prime is 5040067. The reversal of 5040064 is 4600405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040067) 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 3 ways as a sum of consecutive naturals, for example, 3259 + ... + 4549.

Almost surely, 25040064 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 5040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086604).

5040064 is an abundant number, since it is smaller than the sum of its proper divisors (5133144).

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

5040064 is a wasteful number, since it uses less digits than its factorization.

5040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5040064 is about 2245.0086859520. The cubic root of 5040064 is about 171.4531033675.

Adding to 5040064 its reverse (4600405), we get a palindrome (9640469).

The spelling of 5040064 in words is "five million, forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1291 1952 2582 3904 5164 10328 20656 41312 78751 82624 157502 315004 630008 1260016 2520032 5040064