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500668480 = 26513611973
BaseRepresentation
bin11101110101111…
…001100001000000
31021220002121001001
4131311321201000
52011132342410
6121403021344
715256416604
oct3565714100
91256077031
10500668480
11237683704
1211b80a854
137c95a450
144a6cb504
152de4b33a
hex1dd79840

500668480 has 112 divisors (see below), whose sum is σ = 1305635184. Its totient is φ = 181739520.

The previous prime is 500668471. The next prime is 500668481. The reversal of 500668480 is 84866005.

It can be written as a sum of positive squares in 8 ways, for example, as 217621504 + 283046976 = 14752^2 + 16824^2 .

It is not an unprimeable number, because it can be changed into a prime (500668481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252774 + ... + 254746.

It is an arithmetic number, because the mean of its divisors is an integer number (11657457).

Almost surely, 2500668480 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 500668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652817592).

500668480 is an abundant number, since it is smaller than the sum of its proper divisors (804966704).

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

500668480 is a wasteful number, since it uses less digits than its factorization.

500668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 500668480 is about 22375.6224494426. The cubic root of 500668480 is about 794.0540837518.

The spelling of 500668480 in words is "five hundred million, six hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 130 160 208 244 260 305 320 416 488 520 610 793 832 976 1040 1220 1586 1952 1973 2080 2440 3172 3904 3946 3965 4160 4880 6344 7892 7930 9760 9865 12688 15784 15860 19520 19730 25376 25649 31568 31720 39460 50752 51298 63136 63440 78920 102596 120353 126272 126880 128245 157840 205192 240706 253760 256490 315680 410384 481412 512980 601765 631360 820768 962824 1025960 1203530 1564589 1641536 1925648 2051920 2407060 3129178 3851296 4103840 4814120 6258356 7702592 7822945 8207680 9628240 12516712 15645890 19256480 25033424 31291780 38512960 50066848 62583560 100133696 125167120 250334240 500668480