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2875225782 = 23111310133179
BaseRepresentation
bin1010101101100000…
…0111011010110110
321102101020121021210
42223120013122312
521342024211112
61153150022250
7131152005312
oct25330073266
97371217253
102875225782
111245a98760
12682aa7986
1336a8a8540
141d3c06b42
1511c648b3c
hexab6076b6

2875225782 has 64 divisors (see below), whose sum is σ = 6822869760. Its totient is φ = 796272000.

The previous prime is 2875225781. The next prime is 2875225841.

2875225782 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2875225781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70069 + ... + 103247.

It is an arithmetic number, because the mean of its divisors is an integer number (106607340).

Almost surely, 22875225782 is an apocalyptic number.

2875225782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2875225782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411434880).

2875225782 is an abundant number, since it is smaller than the sum of its proper divisors (3947643978).

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

2875225782 is a wasteful number, since it uses less digits than its factorization.

2875225782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33309.

The product of its digits is 1254400, while the sum is 48.

The square root of 2875225782 is about 53621.1318604895. The cubic root of 2875225782 is about 1421.9707117905.

The spelling of 2875225782 in words is "two billion, eight hundred seventy-five million, two hundred twenty-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 606 858 1111 1313 2222 2626 3333 3939 6666 7878 14443 28886 33179 43329 66358 86658 99537 199074 364969 431327 729938 862654 1094907 1293981 2189814 2587962 3351079 4744597 6702158 9489194 10053237 14233791 20106474 28467582 36861869 43564027 73723738 87128054 110585607 130692081 221171214 261384162 479204297 958408594 1437612891 2875225782