Search a number
-
+
4813029376 = 2162712
BaseRepresentation
bin1000111101110000…
…10000000000000000
3110102102120020002021
410132320100000000
534324113420001
62113331531224
7230162034421
oct43670200000
913372506067
104813029376
11204a914231
12b23a59b14
135b91b6c9c
14339311648
151d2822ba1
hex11ee10000

4813029376 has 51 divisors (see below), whose sum is σ = 9661636623. Its totient is φ = 2397634560.

The previous prime is 4813029373. The next prime is 4813029379. The reversal of 4813029376 is 6739203184.

The square root of 4813029376 is 69376.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4813029373) and next prime (4813029379).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4813029373) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17760121 + ... + 17760391.

Almost surely, 24813029376 is an apocalyptic number.

4813029376 is the 69376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4813029376

4813029376 is an abundant number, since it is smaller than the sum of its proper divisors (4848607247).

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

4813029376 is an frugal number, since it uses more digits than its factorization.

4813029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The cubic root of 4813029376 is about 1688.3902573936.

The spelling of 4813029376 in words is "four billion, eight hundred thirteen million, twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 271 512 542 1024 1084 2048 2168 4096 4336 8192 8672 16384 17344 32768 34688 65536 69376 73441 138752 146882 277504 293764 555008 587528 1110016 1175056 2220032 2350112 4440064 4700224 8880128 9400448 17760256 18800896 37601792 75203584 150407168 300814336 601628672 1203257344 2406514688 4813029376