Search a number
-
+
4249632834 = 23217193891879
BaseRepresentation
bin1111110101001100…
…0100000001000010
3101222011102201022200
43331103010001002
532200401222314
61541404214030
7210211166046
oct37523040102
911864381280
104249632834
111890897057
129a723a316
13529565c55
142c4576026
1519d135709
hexfd4c4042

4249632834 has 96 divisors (see below), whose sum is σ = 10294128000. Its totient is φ = 1259131392.

The previous prime is 4249632833. The next prime is 4249632841. The reversal of 4249632834 is 4382369424.

4249632834 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 632 + 8 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4249632834.

It is not an unprimeable number, because it can be changed into a prime (4249632833) 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 47 ways as a sum of consecutive naturals, for example, 2260707 + ... + 2262585.

It is an arithmetic number, because the mean of its divisors is an integer number (107230500).

Almost surely, 24249632834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4249632834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147064000).

4249632834 is an abundant number, since it is smaller than the sum of its proper divisors (6044495166).

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

4249632834 is a wasteful number, since it uses less digits than its factorization.

4249632834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2309 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 4249632834 is about 65189.2079565322. The cubic root of 4249632834 is about 1619.7592532049.

The spelling of 4249632834 in words is "four billion, two hundred forty-nine million, six hundred thirty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 389 646 778 969 1167 1879 1938 2334 2907 3501 3758 5637 5814 6613 7002 7391 11274 13226 14782 16911 19839 22173 31943 33822 35701 39678 44346 59517 63886 66519 71402 95829 107103 119034 125647 133038 191658 214206 251294 287487 321309 376941 574974 606917 642618 730931 753882 1130823 1213834 1461862 1820751 2192793 2261646 3641502 4385586 5462253 6578379 10924506 12425827 13156758 13887689 24851654 27775378 37277481 41663067 74554962 83326134 111832443 124989201 223664886 236090713 249978402 472181426 708272139 1416544278 2124816417 4249632834