Search a number
-
+
506463321 = 371311531609
BaseRepresentation
bin11110001100000…
…000010001011001
31022022000000001210
4132030000101121
52014123311241
6122131133333
715356603310
oct3614002131
91268000053
10506463321
1123a981431
12121744249
1380c08c50
144b399277
152e6e3316
hex1e300459

506463321 has 32 divisors (see below), whose sum is σ = 832357120. Its totient is φ = 266747904.

The previous prime is 506463299. The next prime is 506463323. The reversal of 506463321 is 123364605.

It is not a de Polignac number, because 506463321 - 213 = 506455129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506463323) 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 31 ways as a sum of consecutive naturals, for example, 313965 + ... + 315573.

It is an arithmetic number, because the mean of its divisors is an integer number (26011160).

Almost surely, 2506463321 is an apocalyptic number.

It is an amenable number.

506463321 is a deficient number, since it is larger than the sum of its proper divisors (325893799).

506463321 is a wasteful number, since it uses less digits than its factorization.

506463321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 506463321 is about 22504.7399673935. The cubic root of 506463321 is about 797.1058555566.

The spelling of 506463321 in words is "five hundred six million, four hundred sixty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 273 1153 1609 3459 4827 8071 11263 14989 20917 24213 33789 44967 62751 104923 146419 314769 439257 1855177 5565531 12986239 24117301 38958717 72351903 168821107 506463321