Search a number
-
+
4747627008 = 29321013
BaseRepresentation
bin1000110101111101…
…10000101000000000
3110020212111102220100
410122332300220000
534210343031013
62103034042400
7225436110105
oct43276605000
913225442810
104747627008
112016a03493
12b05b79400
135a8798067
14330768aac
151cbc04473
hex11afb0a00

4747627008 has 120 divisors (see below), whose sum is σ = 13838992596. Its totient is φ = 1566873600.

The previous prime is 4747626953. The next prime is 4747627037. The reversal of 4747627008 is 8007267474.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3710271744 + 1037355264 = 60912^2 + 32208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47006158 + ... + 47006258.

Almost surely, 24747627008 is an apocalyptic number.

4747627008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4747627008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919496298).

4747627008 is an abundant number, since it is smaller than the sum of its proper divisors (9091365588).

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

4747627008 is an frugal number, since it uses more digits than its factorization.

4747627008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4747627008 is about 68903.0261164196. The cubic root of 4747627008 is about 1680.7077290259.

The spelling of 4747627008 in words is "four billion, seven hundred forty-seven million, six hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1152 1212 1536 1616 1818 2304 2424 3232 3636 4608 4848 6464 7272 9696 10201 12928 14544 19392 20402 25856 29088 30603 38784 40804 51712 58176 61206 77568 81608 91809 116352 122412 155136 163216 183618 232704 244824 326432 367236 465408 489648 652864 734472 979296 1030301 1305728 1468944 1958592 2060602 2611456 2937888 3090903 3917184 4121204 5222912 5875776 6181806 7834368 8242408 9272709 11751552 12363612 15668736 16484816 18545418 23503104 24727224 32969632 37090836 47006208 49454448 65939264 74181672 98908896 131878528 148363344 197817792 263757056 296726688 395635584 527514112 593453376 791271168 1186906752 1582542336 2373813504 4747627008