Search a number
-
+
4812030080 = 275111352579
BaseRepresentation
bin1000111101101000…
…11100000010000000
3110102100200110022022
410132310130002000
534323334430310
62113254301012
7230150403134
oct43664340200
913370613268
104812030080
11204a2a1470
12b23657768
135b8c271a0
143391313c4
151d26c6a55
hex11ed1c080

4812030080 has 128 divisors (see below), whose sum is σ = 13515163200. Its totient is φ = 1615196160.

The previous prime is 4812030053. The next prime is 4812030103. The reversal of 4812030080 is 800302184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65231 + ... + 117809.

Almost surely, 24812030080 is an apocalyptic number.

4812030080 is a gapful number since it is divisible by the number (40) 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 4812030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757581600).

4812030080 is an abundant number, since it is smaller than the sum of its proper divisors (8703133120).

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

4812030080 is a wasteful number, since it uses less digits than its factorization.

4812030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52622 (or 52610 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4812030080 is about 69368.7975966140. The cubic root of 4812030080 is about 1688.2733997087.

The spelling of 4812030080 in words is "four billion, eight hundred twelve million, thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9152 11440 18304 22880 45760 52579 91520 105158 210316 262895 420632 525790 578369 683527 841264 1051580 1156738 1367054 1682528 2103160 2313476 2734108 2891845 3365056 3417635 4206320 4626952 5468216 5783690 6730112 6835270 7518797 8412640 9253904 10936432 11567380 13670540 15037594 16825280 18507808 21872864 23134760 27341080 30075188 33650560 37015616 37593985 43745728 46269520 54682160 60150376 74031232 75187970 87491456 92539040 109364320 120300752 150375940 185078080 218728640 240601504 300751880 370156160 437457280 481203008 601503760 962406016 1203007520 2406015040 4812030080