Search a number
-
+
4746829460 = 2255340910949
BaseRepresentation
bin1000110101110111…
…01101111010010100
3110020210222220212112
410122323231322110
534210142020320
62103005010152
7225426245642
oct43273557224
913223886775
104746829460
11201650925a
12b05853958
135a8579039
143305dc192
151cbae7ec5
hex11aeede94

4746829460 has 48 divisors (see below), whose sum is σ = 10182186000. Its totient is φ = 1858182144.

The previous prime is 4746829459. The next prime is 4746829481. The reversal of 4746829460 is 649286474.

It can be written as a sum of positive squares in 8 ways, for example, as 446224 + 4746383236 = 668^2 + 68894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4746829399 and 4746829408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428066 + ... + 439014.

It is an arithmetic number, because the mean of its divisors is an integer number (212128875).

Almost surely, 24746829460 is an apocalyptic number.

It is an amenable number.

4746829460 is an abundant number, since it is smaller than the sum of its proper divisors (5435356540).

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

4746829460 is a wasteful number, since it uses less digits than its factorization.

4746829460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The square root of 4746829460 is about 68897.2384061945. The cubic root of 4746829460 is about 1680.6136104166.

The spelling of 4746829460 in words is "four billion, seven hundred forty-six million, eight hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 212 265 409 530 818 1060 1636 2045 4090 8180 10949 21677 21898 43354 43796 54745 86708 108385 109490 216770 218980 433540 580297 1160594 2321188 2901485 4478141 5802970 8956282 11605940 17912564 22390705 44781410 89562820 237341473 474682946 949365892 1186707365 2373414730 4746829460