[go: up one dir, main page]

Search a number
-
+
4155664056 = 233594216971
BaseRepresentation
bin1111011110110010…
…0110011010111000
3101201121121121101120
43313230212122320
532002322222211
61524210145240
7204660363435
oct36754463270
911647547346
104155664056
111842844a05
1297b882220
13512c5471b
142b5cb4b8c
15194c72d06
hexf7b266b8

4155664056 has 64 divisors (see below), whose sum is σ = 10591862400. Its totient is φ = 1358313600.

The previous prime is 4155664027. The next prime is 4155664067. The reversal of 4155664056 is 6504665514.

It is a super-2 number, since 2×41556640562 = 34539087492660742272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4155663999 and 4155664017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592651 + ... + 599621.

It is an arithmetic number, because the mean of its divisors is an integer number (165497850).

Almost surely, 24155664056 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 4155664056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295931200).

4155664056 is an abundant number, since it is smaller than the sum of its proper divisors (6436198344).

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

4155664056 is a wasteful number, since it uses less digits than its factorization.

4155664056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 4155664056 is about 64464.4402442153. The cubic root of 4155664056 is about 1607.7313386205.

The spelling of 4155664056 in words is "four billion, one hundred fifty-five million, six hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 421 472 708 842 1263 1416 1684 2526 3368 5052 6971 10104 13942 20913 24839 27884 41826 49678 55768 74517 83652 99356 149034 167304 198712 298068 411289 596136 822578 1233867 1645156 2467734 2934791 3290312 4935468 5869582 8804373 9870936 11739164 17608746 23478328 35217492 70434984 173152669 346305338 519458007 692610676 1038916014 1385221352 2077832028 4155664056