Search a number
-
+
4201612104 = 23329411131303
BaseRepresentation
bin1111101001101111…
…1000001101001000
3101211211002000021010
43322123320031020
532101103041404
61532531043520
7206056053654
oct37233701510
911754060233
104201612104
1118667783a8
129931405a0
1351c621711
142bc035a64
15198cec189
hexfa6f8348

4201612104 has 128 divisors (see below), whose sum is σ = 11238393600. Its totient is φ = 1306583040.

The previous prime is 4201612061. The next prime is 4201612109. The reversal of 4201612104 is 4012161024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4201612109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3223917 + ... + 3225219.

It is an arithmetic number, because the mean of its divisors is an integer number (87799950).

Almost surely, 24201612104 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 4201612104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619196800).

4201612104 is an abundant number, since it is smaller than the sum of its proper divisors (7036781496).

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

4201612104 is a wasteful number, since it uses less digits than its factorization.

4201612104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4201612104 is about 64819.8434431926. The cubic root of 4201612104 is about 1613.6350493625.

Adding to 4201612104 its reverse (4012161024), we get a palindrome (8213773128).

The spelling of 4201612104 in words is "four billion, two hundred one million, six hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 113 116 123 164 174 226 232 246 328 339 348 452 492 678 696 904 984 1189 1303 1356 2378 2606 2712 3277 3567 3909 4633 4756 5212 6554 7134 7818 9266 9512 9831 10424 13108 13899 14268 15636 18532 19662 26216 27798 28536 31272 37064 37787 39324 53423 55596 75574 78648 106846 111192 113361 134357 147239 151148 160269 213692 226722 268714 294478 302296 320538 403071 427384 441717 453444 537428 588956 641076 806142 883434 906888 1074856 1177912 1282152 1549267 1612284 1766868 3098534 3224568 3533736 4269931 4647801 6036799 6197068 8539862 9295602 12073598 12394136 12809793 17079724 18110397 18591204 24147196 25619586 34159448 36220794 37182408 48294392 51239172 72441588 102478344 144883176 175067171 350134342 525201513 700268684 1050403026 1400537368 2100806052 4201612104