Search a number
-
+
4485202848 = 253372105943
BaseRepresentation
bin1000010110101011…
…01100001110100000
3102120120200220122000
410023111230032200
533141202442343
62021021244000
7216101411100
oct41325541640
912516626560
104485202848
1119a1864315
12a52103600
135662c55a9
14307977200
151b3b68ed3
hex10b56c3a0

4485202848 has 144 divisors (see below), whose sum is σ = 15217796160. Its totient is φ = 1281474432.

The previous prime is 4485202829. The next prime is 4485202861. The reversal of 4485202848 is 8482025844.

4485202848 is a `hidden beast` number, since 4 + 48 + 520 + 2 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×44852028482 = 40234089175414622208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10636 + ... + 95307.

It is an arithmetic number, because the mean of its divisors is an integer number (105679140).

Almost surely, 24485202848 is an apocalyptic number.

4485202848 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 4485202848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608898080).

4485202848 is an abundant number, since it is smaller than the sum of its proper divisors (10732593312).

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

4485202848 is a wasteful number, since it uses less digits than its factorization.

4485202848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105976 (or 105955 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4485202848 is about 66971.6570498297. The cubic root of 4485202848 is about 1649.1520403286.

The spelling of 4485202848 in words is "four billion, four hundred eighty-five million, two hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 105943 211886 317829 423772 635658 741601 847544 953487 1271316 1483202 1695088 1906974 2224803 2542632 2860461 2966404 3390176 3813948 4449606 5085264 5191207 5720922 5932808 6674409 7627896 8899212 10170528 10382414 11441844 11865616 13348818 15255792 15573621 17798424 20023227 20764828 22883688 23731232 26697636 30511584 31147242 35596848 40046454 41529656 45767376 46720863 53395272 62294484 71193696 80092908 83059312 91534752 93441726 106790544 124588968 140162589 160185816 166118624 186883452 213581088 249177936 280325178 320371632 373766904 498355872 560650356 640743264 747533808 1121300712 1495067616 2242601424 4485202848