Search a number
-
+
4933004952 = 2333144914767
BaseRepresentation
bin1001001100000011…
…11010111010011000
3110201210022121122010
410212001322322120
540100322124302
62133255225520
7233146564431
oct44601727230
913653277563
104933004952
1121016096a7
12b580782a0
13608002a55
1434b222488
151dd12116c
hex12607ae98

4933004952 has 64 divisors (see below), whose sum is σ = 12759552000. Its totient is φ = 1587640320.

The previous prime is 4933004929. The next prime is 4933004959. The reversal of 4933004952 is 2594003394.

It is a self number, because there is not a number n which added to its sum of digits gives 4933004952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4933004959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326673 + ... + 341439.

It is an arithmetic number, because the mean of its divisors is an integer number (199368000).

Almost surely, 24933004952 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 4933004952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379776000).

4933004952 is an abundant number, since it is smaller than the sum of its proper divisors (7826547048).

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

4933004952 is a wasteful number, since it uses less digits than its factorization.

4933004952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 15252 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 4933004952 is about 70235.3540035216. The cubic root of 4933004952 is about 1702.3042515492.

The spelling of 4933004952 in words is "four billion, nine hundred thirty-three million, four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 449 744 898 1347 1796 2694 3592 5388 10776 13919 14767 27838 29534 41757 44301 55676 59068 83514 88602 111352 118136 167028 177204 334056 354408 457777 915554 1373331 1831108 2746662 3662216 5493324 6630383 10986648 13260766 19891149 26521532 39782298 53043064 79564596 159129192 205541873 411083746 616625619 822167492 1233251238 1644334984 2466502476 4933004952