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5080064 = 21011241
BaseRepresentation
bin10011011000010000000000
3100120002112112
4103120100000
52300030224
6300514452
761115453
oct23302000
910502475
105080064
11295a800
12184ba28
13108b372
1496349a
156a530e
hex4d8400

5080064 has 66 divisors (see below), whose sum is σ = 11434542. Its totient is φ = 2252800.

The previous prime is 5080051. The next prime is 5080067. The reversal of 5080064 is 4600805.

It can be written as a sum of positive squares in only one way, i.e., 3097600 + 1982464 = 1760^2 + 1408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5080067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123884 + ... + 123924.

Almost surely, 25080064 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 5080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717271).

5080064 is an abundant number, since it is smaller than the sum of its proper divisors (6354478).

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

5080064 is a wasteful number, since it uses less digits than its factorization.

5080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5080064 is about 2253.8997315764. The cubic root of 5080064 is about 171.9054825935.

Adding to 5080064 its reverse (4600805), we get a palindrome (9680869).

The spelling of 5080064 in words is "five million, eighty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 164 176 242 256 328 352 451 484 512 656 704 902 968 1024 1312 1408 1804 1936 2624 2816 3608 3872 4961 5248 5632 7216 7744 9922 10496 11264 14432 15488 19844 20992 28864 30976 39688 41984 57728 61952 79376 115456 123904 158752 230912 317504 461824 635008 1270016 2540032 5080064