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4817287968 = 253192229607
BaseRepresentation
bin1000111110010000…
…11111101100100000
3110102201120120202220
410133020133230200
534331211203333
62114003111040
7230243162223
oct43710375440
913381516686
104817287968
112052262829
12b25372480
135ba04846c
14339add5ba
151d2db48b3
hex11f21fb20

4817287968 has 144 divisors (see below), whose sum is σ = 13426318080. Its totient is φ = 1512110592.

The previous prime is 4817287967. The next prime is 4817287999. The reversal of 4817287968 is 8697827184.

It is not an unprimeable number, because it can be changed into a prime (4817287963) 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, 7935921 + ... + 7936527.

It is an arithmetic number, because the mean of its divisors is an integer number (93238320).

Almost surely, 24817287968 is an apocalyptic number.

4817287968 is a gapful number since it is divisible by the number (48) 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 4817287968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713159040).

4817287968 is an abundant number, since it is smaller than the sum of its proper divisors (8609030112).

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

4817287968 is a wasteful number, since it uses less digits than its factorization.

4817287968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 860 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The square root of 4817287968 is about 69406.6853264151. The cubic root of 4817287968 is about 1688.8880759255. Note that the first 3 decimals are identical.

The spelling of 4817287968 in words is "four billion, eight hundred seventeen million, two hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 229 304 361 456 458 607 608 687 722 912 916 1083 1214 1374 1444 1821 1824 1832 2166 2428 2748 2888 3642 3664 4332 4351 4856 5496 5776 7284 7328 8664 8702 9712 10992 11533 11552 13053 14568 17328 17404 19424 21984 23066 26106 29136 34599 34656 34808 46132 52212 58272 69198 69616 82669 92264 104424 138396 139003 139232 165338 184528 208848 219127 248007 276792 278006 330676 369056 417009 417696 438254 496014 553584 556012 657381 661352 834018 876508 992028 1107168 1112024 1314762 1322704 1668036 1753016 1984056 2224048 2629524 2641057 2645408 3336072 3506032 3968112 4448096 5259048 5282114 6672144 7012064 7923171 7936224 10518096 10564228 13344288 15846342 21036192 21128456 31692684 42256912 50180083 63385368 84513824 100360166 126770736 150540249 200720332 253541472 301080498 401440664 602160996 802881328 1204321992 1605762656 2408643984 4817287968