Search a number
-
+
4681448505 = 325894672503
BaseRepresentation
bin1000101110000100…
…10011110000111001
3110002020222020001200
410113002103300321
534041422323010
62052311404413
7224003440626
oct42702236071
913066866050
104681448505
111a92612608
12aa7983709
13597b66a96
14325a5d34d
151c5ed0cc0
hex117093c39

4681448505 has 48 divisors (see below), whose sum is σ = 8226541440. Its totient is φ = 2462448384.

The previous prime is 4681448483. The next prime is 4681448507. The reversal of 4681448505 is 5058441864.

It is a happy number.

It is not a de Polignac number, because 4681448505 - 28 = 4681448249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4681448507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869084 + ... + 1871586.

It is an arithmetic number, because the mean of its divisors is an integer number (171386280).

Almost surely, 24681448505 is an apocalyptic number.

4681448505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4681448505 is a deficient number, since it is larger than the sum of its proper divisors (3545092935).

4681448505 is a wasteful number, since it uses less digits than its factorization.

4681448505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 4681448505 is about 68421.1115446103. Note that the first 3 decimals coincide. The cubic root of 4681448505 is about 1672.8618748156.

The spelling of 4681448505 in words is "four billion, six hundred eighty-one million, four hundred forty-eight thousand, five hundred five".

Divisors: 1 3 5 9 15 45 89 267 445 467 801 1335 1401 2335 2503 4005 4203 7005 7509 12515 21015 22527 37545 41563 112635 124689 207815 222767 374067 623445 668301 1113835 1168901 1870335 2004903 3341505 3506703 5844505 10024515 10520109 17533515 52600545 104032189 312096567 520160945 936289701 1560482835 4681448505