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5000064 = 27329449
BaseRepresentation
bin10011000100101110000000
3100102000210120
4103010232000
52240000224
6255100240
760333306
oct23045600
910360716
105000064
112905693
121811680
131060b24
14942276
1568b779
hex4c4b80

5000064 has 64 divisors (see below), whose sum is σ = 13770000. Its totient is φ = 1605632.

The previous prime is 5000011. The next prime is 5000077. The reversal of 5000064 is 4600005.

5000064 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10912 + ... + 11360.

Almost surely, 25000064 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 5000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885000).

5000064 is an abundant number, since it is smaller than the sum of its proper divisors (8769936).

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

5000064 is a wasteful number, since it uses less digits than its factorization.

5000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5000064 is about 2236.0822882891. The cubic root of 5000064 is about 170.9983242543.

Adding to 5000064 its reverse (4600005), we get a palindrome (9600069).

It can be divided in two parts, 50000 and 64, that multiplied together give a 5-th power (3200000 = 205).

The spelling of 5000064 in words is "five million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 449 464 696 898 928 1347 1392 1796 1856 2694 2784 3592 3712 5388 5568 7184 10776 11136 13021 14368 21552 26042 28736 39063 43104 52084 57472 78126 86208 104168 156252 172416 208336 312504 416672 625008 833344 1250016 1666688 2500032 5000064