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2854525968 = 243372134851
BaseRepresentation
bin1010101000100100…
…1001110000010000
321100221021221111000
42222021021300100
521321224312333
61151130222000
7130511033100
oct25211116020
97327257430
102854525968
11123533a678
12677b84900
1336650b728
141d1179200
1511a90a713
hexaa249c10

2854525968 has 120 divisors (see below), whose sum is σ = 9531339360. Its totient is φ = 815572800.

The previous prime is 2854525963. The next prime is 2854526011. The reversal of 2854525968 is 8695254582.

2854525968 is a `hidden beast` number, since 2 + 8 + 5 + 45 + 2 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2854525963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46258 + ... + 88593.

It is an arithmetic number, because the mean of its divisors is an integer number (79427828).

Almost surely, 22854525968 is an apocalyptic number.

2854525968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2854525968 is an abundant number, since it is smaller than the sum of its proper divisors (6676813392).

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

2854525968 is a wasteful number, since it uses less digits than its factorization.

2854525968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134882 (or 134863 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 2854525968 is about 53427.7640183454. The cubic root of 2854525968 is about 1418.5500587059.

The spelling of 2854525968 in words is "two billion, eight hundred fifty-four million, five hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 134851 269702 404553 539404 809106 943957 1078808 1213659 1618212 1887914 2157616 2427318 2831871 3236424 3640977 3775828 4854636 5663742 6472848 6607699 7281954 7551656 8495613 9709272 11327484 13215398 14563908 15103312 16991226 19418544 19823097 22654968 25486839 26430796 29127816 33982452 39646194 45309936 50973678 52861592 58255632 59469291 67964904 79292388 101947356 105723184 118938582 135929808 158584776 178407873 203894712 237877164 317169552 356815746 407789424 475754328 713631492 951508656 1427262984 2854525968