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4830800688 = 243378871801
BaseRepresentation
bin1000111111111000…
…00010101100110000
3110110200000002202000
410133330002230300
534343141110223
62115204454000
7230466062010
oct43774025460
913420002660
104830800688
11205995206a
12b299aa300
135bca99b5c
1433b819c40
151d4183543
hex11ff02b30

4830800688 has 160 divisors (see below), whose sum is σ = 15873745920. Its totient is φ = 1377907200.

The previous prime is 4830800683. The next prime is 4830800719. The reversal of 4830800688 is 8860080384.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4830800683) 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, 2681388 + ... + 2683188.

It is an arithmetic number, because the mean of its divisors is an integer number (99210912).

Almost surely, 24830800688 is an apocalyptic number.

4830800688 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 4830800688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936872960).

4830800688 is an abundant number, since it is smaller than the sum of its proper divisors (11042945232).

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

4830800688 is a wasteful number, since it uses less digits than its factorization.

4830800688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4830800688 is about 69503.9616712601. The cubic root of 4830800688 is about 1690.4657386124.

The spelling of 4830800688 in words is "four billion, eight hundred thirty million, eight hundred thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 887 1008 1512 1774 1801 2661 3024 3548 3602 5322 5403 6209 7096 7204 7983 10644 10806 12418 12607 14192 14408 15966 16209 18627 21288 21612 23949 24836 25214 28816 31932 32418 37254 37821 42576 43224 47898 48627 49672 50428 55881 63864 64836 74508 75642 86448 95796 97254 99344 100856 111762 113463 127728 129672 149016 151284 167643 191592 194508 201712 223524 226926 259344 298032 302568 335286 340389 383184 389016 447048 453852 605136 670572 680778 778032 894096 907704 1341144 1361556 1597487 1815408 2682288 2723112 3194974 4792461 5446224 6389948 9584922 11182409 12779896 14377383 19169844 22364818 25559792 28754766 33547227 38339688 43132149 44729636 57509532 67094454 76679376 86264298 89459272 100641681 115019064 134188908 172528596 178918544 201283362 230038128 268377816 301925043 345057192 402566724 536755632 603850086 690114384 805133448 1207700172 1610266896 2415400344 4830800688