Search a number
-
+
4115095452 = 223213371072221
BaseRepresentation
bin1111010101000111…
…0101111110011100
3101121210021111201200
43311101311332130
531411431023302
61520200435500
7203655506556
oct36521657634
911553244650
104115095452
111821956136
1296a178b90
1350771c130
142b07544d6
1519140c81c
hexf5475f9c

4115095452 has 144 divisors (see below), whose sum is σ = 11617718112. Its totient is φ = 1219898880.

The previous prime is 4115095451. The next prime is 4115095459. The reversal of 4115095452 is 2545905114.

4115095452 is a `hidden beast` number, since 4 + 115 + 0 + 95 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115095451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851702 + ... + 1853922.

It is an arithmetic number, because the mean of its divisors is an integer number (80678598).

Almost surely, 24115095452 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 4115095452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808859056).

4115095452 is an abundant number, since it is smaller than the sum of its proper divisors (7502622660).

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

4115095452 is a wasteful number, since it uses less digits than its factorization.

4115095452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 4115095452 is about 64149.0097507358. The cubic root of 4115095452 is about 1602.4825331303.

The spelling of 4115095452 in words is "four billion, one hundred fifteen million, ninety-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 107 111 117 148 156 214 222 234 321 333 428 444 468 481 642 666 962 963 1284 1332 1391 1443 1924 1926 2221 2782 2886 3852 3959 4173 4329 4442 5564 5772 6663 7918 8346 8658 8884 11877 12519 13326 15836 16692 17316 19989 23754 25038 26652 28873 35631 39978 47508 50076 51467 57746 71262 79956 82177 86619 102934 115492 142524 154401 164354 173238 205868 237647 246531 259857 308802 328708 346476 463203 475294 493062 519714 617604 712941 739593 926406 950588 986124 1039428 1068301 1425882 1479186 1852812 2136602 2138823 2851764 2958372 3089411 3204903 4273204 4277646 6178822 6409806 8555292 8792939 9268233 9614709 12357644 12819612 17585878 18536466 19229418 26378817 27804699 35171756 37072932 38458836 52757634 55609398 79136451 105515268 111218796 114308207 158272902 228616414 316545804 342924621 457232828 685849242 1028773863 1371698484 2057547726 4115095452