Search a number
-
+
4227712896 = 27311290989
BaseRepresentation
bin1111101111111101…
…1100011110000000
3101220122012001211010
43323333130132000
532124243303041
61535302320520
7206523652401
oct37377343600
911818161733
104227712896
11187a485300
1299ba29140
13524b5c984
142c16ab9a8
1519b255a16
hexfbfdc780

4227712896 has 96 divisors (see below), whose sum is σ = 12343703400. Its totient is φ = 1281111040.

The previous prime is 4227712883. The next prime is 4227712903. The reversal of 4227712896 is 6982177224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970 + ... + 91958.

Almost surely, 24227712896 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 4227712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171851700).

4227712896 is an abundant number, since it is smaller than the sum of its proper divisors (8115990504).

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

4227712896 is a wasteful number, since it uses less digits than its factorization.

4227712896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91028 (or 91005 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 4227712896 is about 65020.8650819104. The cubic root of 4227712896 is about 1616.9695028725.

It can be divided in two parts, 42277128 and 96, that added together give a palindrome (42277224).

The spelling of 4227712896 in words is "four billion, two hundred twenty-seven million, seven hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 90989 181978 272967 363956 545934 727912 1000879 1091868 1455824 2001758 2183736 2911648 3002637 4003516 4367472 5823296 6005274 8007032 8734944 11009669 11646592 12010548 16014064 17469888 22019338 24021096 32028128 33029007 34939776 44038676 48042192 64056256 66058014 88077352 96084384 128112512 132116028 176154704 192168768 264232056 352309408 384337536 528464112 704618816 1056928224 1409237632 2113856448 4227712896