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2853192420 = 22325131219313
BaseRepresentation
bin1010101000010000…
…0100001011100100
321100211210012012100
42222010010023210
521320404124140
61151041452100
7130463510151
oct25204041344
97324705170
102853192420
111234609771
12677641030
13366162750
141d0d0d228
1511a745530
hexaa1042e4

2853192420 has 72 divisors (see below), whose sum is σ = 9320436216. Its totient is φ = 702323712.

The previous prime is 2853192409. The next prime is 2853192421. The reversal of 2853192420 is 242913582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 589906944 + 2263285476 = 24288^2 + 47574^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2853192421) 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, 607317 + ... + 611996.

It is an arithmetic number, because the mean of its divisors is an integer number (129450503).

Almost surely, 22853192420 is an apocalyptic number.

2853192420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2853192420 is an abundant number, since it is smaller than the sum of its proper divisors (6467243796).

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

2853192420 is a wasteful number, since it uses less digits than its factorization.

2853192420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219341 (or 1219336 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2853192420 is about 53415.2826445765. The cubic root of 2853192420 is about 1418.3291231023.

The spelling of 2853192420 in words is "two billion, eight hundred fifty-three million, one hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1219313 2438626 3657939 4877252 6096565 7315878 10973817 12193130 14631756 15851069 18289695 21947634 24386260 31702138 36579390 43895268 47553207 54869085 63404276 73158780 79255345 95106414 109738170 142659621 158510690 190212828 219476340 237766035 285319242 317021380 475532070 570638484 713298105 951064140 1426596210 2853192420