[go: up one dir, main page]

Search a number
-
+
3038538496 = 2875033371
BaseRepresentation
bin1011010100011100…
…0110101100000000
321211202112202012211
42311013012230000
522210331212441
61221302231504
7135204102550
oct26507065400
97752482184
103038538496
11131a1a2a44
12709725594
13395688a96
1420b799160
1512bb57a81
hexb51c6b00

3038538496 has 72 divisors (see below), whose sum is σ = 6947506944. Its totient is φ = 1299256320.

The previous prime is 3038538493. The next prime is 3038538553. The reversal of 3038538496 is 6948358303.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3038538493) by changing a digit.

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, 899691 + ... + 903061.

It is an arithmetic number, because the mean of its divisors is an integer number (96493152).

Almost surely, 23038538496 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 3038538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473753472).

3038538496 is an abundant number, since it is smaller than the sum of its proper divisors (3908968448).

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

3038538496 is an equidigital number, since it uses as much as digits as its factorization.

3038538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The square root of 3038538496 is about 55122.9398345190. The cubic root of 3038538496 is about 1448.3991045000.

The spelling of 3038538496 in words is "three billion, thirty-eight million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 503 896 1006 1792 2012 3371 3521 4024 6742 7042 8048 13484 14084 16096 23597 26968 28168 32192 47194 53936 56336 64384 94388 107872 112672 128768 188776 215744 225344 377552 431488 450688 755104 862976 901376 1510208 1695613 3020416 3391226 6040832 6782452 11869291 13564904 23738582 27129808 47477164 54259616 94954328 108519232 189908656 217038464 379817312 434076928 759634624 1519269248 3038538496