Search a number
-
+
6433241948 = 2272372633373
BaseRepresentation
bin1011111110111001…
…10111101101011100
3121121100021112220022
411333130313231130
5101133402220243
62542210411312
7315264440300
oct57734675534
917540245808
106433241948
112801440991
1212b6590b38
137b6a78b53
14450587d00
15279bb5b68
hex17f737b5c

6433241948 has 72 divisors (see below), whose sum is σ = 13505339232. Its totient is φ = 2671595136.

The previous prime is 6433241929. The next prime is 6433241953. The reversal of 6433241948 is 8491423346.

It is a junction number, because it is equal to n+sod(n) for n = 6433241899 and 6433241908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1905590 + ... + 1908962.

It is an arithmetic number, because the mean of its divisors is an integer number (187574156).

Almost surely, 26433241948 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 6433241948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752669616).

6433241948 is an abundant number, since it is smaller than the sum of its proper divisors (7072097284).

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

6433241948 is a wasteful number, since it uses less digits than its factorization.

6433241948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3682 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The square root of 6433241948 is about 80207.4930913565. The cubic root of 6433241948 is about 1859.8444726780.

The spelling of 6433241948 in words is "six billion, four hundred thirty-three million, two hundred forty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 263 518 526 1036 1052 1813 1841 3373 3626 3682 6746 7252 7364 9731 12887 13492 19462 23611 25774 38924 47222 51548 68117 94444 124801 136234 165277 249602 272468 330554 476819 499204 661108 873607 887099 953638 1747214 1774198 1907276 3494428 3548396 6115249 6209693 12230498 12419386 24460996 24838772 32822663 43467851 65645326 86935702 131290652 173871404 229758641 459517282 919034564 1608310487 3216620974 6433241948