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506466096 = 243311073181
BaseRepresentation
bin11110001100000…
…000111100110000
31022022000010212120
4132030000330300
52014123403341
6122131154240
715356614353
oct3614007460
91268003776
10506466096
1123a983524
12121745980
1380c0a2a6
144b39a29a
152e6e4066
hex1e300f30

506466096 has 80 divisors (see below), whose sum is σ = 1363627008. Its totient is φ = 161798400.

The previous prime is 506466073. The next prime is 506466097. The reversal of 506466096 is 690664605.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (506466097) 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, 157626 + ... + 160806.

Almost surely, 2506466096 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 506466096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681813504).

506466096 is an abundant number, since it is smaller than the sum of its proper divisors (857160912).

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

506466096 is a wasteful number, since it uses less digits than its factorization.

506466096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 506466096 is about 22504.8016209875. The cubic root of 506466096 is about 797.1073113808.

The spelling of 506466096 in words is "five hundred six million, four hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 107 124 186 214 248 321 372 428 496 642 744 856 1284 1488 1712 2568 3181 3317 5136 6362 6634 9543 9951 12724 13268 19086 19902 25448 26536 38172 39804 50896 53072 76344 79608 98611 152688 159216 197222 295833 340367 394444 591666 680734 788888 1021101 1183332 1361468 1577776 2042202 2366664 2722936 4084404 4733328 5445872 8168808 10551377 16337616 21102754 31654131 42205508 63308262 84411016 126616524 168822032 253233048 506466096