Search a number
-
+
4088968272 = 2432377310513
BaseRepresentation
bin1111001110111000…
…1011010001010000
3101112222010002222100
43303232023101100
531333233441042
61513424440400
7203220441204
oct36356132120
911488102870
104088968272
111809130424
12961479100
135021a1b6c
142ab0b2b04
1518de9b24c
hexf3b8b450

4088968272 has 120 divisors (see below), whose sum is σ = 11914843304. Its totient is φ = 1307860992.

The previous prime is 4088968249. The next prime is 4088968277. The reversal of 4088968272 is 2728698804.

4088968272 is a `hidden beast` number, since 408 + 8 + 96 + 82 + 72 = 666.

4088968272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 287505936 + 3801462336 = 16956^2 + 61656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4088968277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383688 + ... + 394200.

Almost surely, 24088968272 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 4088968272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957421652).

4088968272 is an abundant number, since it is smaller than the sum of its proper divisors (7825875032).

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

4088968272 is a wasteful number, since it uses less digits than its factorization.

4088968272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4088968272 is about 63945.0410274323. The cubic root of 4088968272 is about 1599.0838859762.

The spelling of 4088968272 in words is "four billion, eighty-eight million, nine hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 73 74 111 144 146 148 219 222 292 296 333 438 444 584 592 657 666 876 888 1168 1314 1332 1752 1776 2628 2664 2701 3504 5256 5328 5402 8103 10512 10513 10804 16206 21026 21608 24309 31539 32412 42052 43216 48618 63078 64824 84104 94617 97236 126156 129648 168208 189234 194472 252312 378468 388944 388981 504624 756936 767449 777962 1166943 1513872 1534898 1555924 2302347 2333886 3069796 3111848 3500829 4604694 4667772 6139592 6223696 6907041 7001658 9209388 9335544 12279184 13814082 14003316 18418776 18671088 27628164 28006632 28395613 36837552 55256328 56013264 56791226 85186839 110512656 113582452 170373678 227164904 255560517 340747356 454329808 511121034 681494712 1022242068 1362989424 2044484136 4088968272