Search a number
-
+
4933144100 = 2252157314213
BaseRepresentation
bin1001001100000100…
…11100111000100100
3110201210120200111202
410212002130320210
540100341102400
62133302222032
7233151014213
oct44602347044
913653520452
104933144100
1121016a41a5
12b58124918
136080511a1
1434b25b07a
151dd14c4d5
hex12609ce24

4933144100 has 36 divisors (see below), whose sum is σ = 10773141204. Its totient is φ = 1960682880.

The previous prime is 4933144063. The next prime is 4933144193. The reversal of 4933144100 is 14413394.

It can be written as a sum of positive squares in 6 ways, for example, as 63616576 + 4869527524 = 7976^2 + 69782^2 .

It is a super-2 number, since 2×49331441002 = 48671821422729620000, 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 11 ways as a sum of consecutive naturals, for example, 141407 + ... + 172806.

Almost surely, 24933144100 is an apocalyptic number.

It is an amenable number.

4933144100 is an abundant number, since it is smaller than the sum of its proper divisors (5839997104).

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

4933144100 is a wasteful number, since it uses less digits than its factorization.

4933144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314384 (or 314377 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 4933144100 is about 70236.3445802812. The cubic root of 4933144100 is about 1702.3202573447.

Adding to 4933144100 its reverse (14413394), we get a palindrome (4947557494).

The spelling of 4933144100 in words is "four billion, nine hundred thirty-three million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 314213 628426 1256852 1571065 3142130 6284260 7855325 15710650 31421300 49331441 98662882 197325764 246657205 493314410 986628820 1233286025 2466572050 4933144100