Search a number
-
+
4897227984 = 24311531391259
BaseRepresentation
bin1001000111110010…
…11100010011010000
3110122021222221212020
410203321130103100
540012142243414
62125540331440
7232233515415
oct44371342320
913567887766
104897227984
1120933a2960
12b480a3b80
1360078744c
1434658c10c
151d9e057a9
hex123e5c4d0

4897227984 has 160 divisors (see below), whose sum is σ = 14174092800. Its totient is φ = 1444385280.

The previous prime is 4897227983. The next prime is 4897227991.

4897227984 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×48972279843 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4897227983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3889147 + ... + 3890405.

It is an arithmetic number, because the mean of its divisors is an integer number (88588080).

Almost surely, 24897227984 is an apocalyptic number.

4897227984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4897227984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087046400).

4897227984 is an abundant number, since it is smaller than the sum of its proper divisors (9276864816).

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

4897227984 is a wasteful number, since it uses less digits than its factorization.

4897227984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1467 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 4897227984 is about 69980.1970846039. The cubic root of 4897227984 is about 1698.1789015457.

The spelling of 4897227984 in words is "four billion, eight hundred ninety-seven million, two hundred twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 139 159 176 212 264 278 318 417 424 528 556 583 636 834 848 1112 1166 1259 1272 1529 1668 1749 2224 2332 2518 2544 3058 3336 3498 3777 4587 4664 5036 6116 6672 6996 7367 7554 9174 9328 10072 12232 13849 13992 14734 15108 18348 20144 22101 24464 27698 27984 29468 30216 36696 41547 44202 55396 58936 60432 66727 73392 81037 83094 88404 110792 117872 133454 162074 166188 175001 176808 200181 221584 243111 266908 324148 332376 350002 353616 400362 486222 525003 533816 648296 664752 700004 733997 800724 972444 1050006 1067632 1296592 1400008 1467994 1601448 1925011 1944888 2100012 2201991 2800016 2935988 3202896 3850022 3889776 4200024 4403982 5775033 5871976 7700044 8400048 8807964 9275053 11550066 11743952 15400088 17615928 18550106 23100132 27825159 30800176 35231856 37100212 46200264 55650318 74200424 92400528 102025583 111300636 148400848 204051166 222601272 306076749 408102332 445202544 612153498 816204664 1224306996 1632409328 2448613992 4897227984