Search a number
-
+
4793195008 = 2976719961
BaseRepresentation
bin1000111011011001…
…00101101000000000
3110101001020112110001
410131230211220000
534304024220013
62111342445344
7226531325320
oct43554455000
913331215401
104793195008
11203a6a7398
12b19293854
135b5061084
1433682b280
151d0c05ddd
hex11db25a00

4793195008 has 80 divisors (see below), whose sum is σ = 11109092544. Its totient is φ = 2023464960.

The previous prime is 4793194979. The next prime is 4793195027. The reversal of 4793195008 is 8005913974.

It is a happy number.

It is a super-2 number, since 2×47931950082 = 45949436769432240128, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 230148 + ... + 250108.

Almost surely, 24793195008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4793195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554546272).

4793195008 is an abundant number, since it is smaller than the sum of its proper divisors (6315897536).

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

4793195008 is an equidigital number, since it uses as much as digits as its factorization.

4793195008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053 (or 20037 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 4793195008 is about 69232.9040846908. The cubic root of 4793195008 is about 1686.0677935185.

The spelling of 4793195008 in words is "four billion, seven hundred ninety-three million, one hundred ninety-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1072 1792 1876 2144 3584 3752 4288 7504 8576 15008 17152 19961 30016 34304 39922 60032 79844 120064 139727 159688 240128 279454 319376 558908 638752 1117816 1277504 1337387 2235632 2555008 2674774 4471264 5110016 5349548 8942528 9361709 10220032 10699096 17885056 18723418 21398192 35770112 37446836 42796384 71540224 74893672 85592768 149787344 171185536 299574688 342371072 599149376 684742144 1198298752 2396597504 4793195008