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2871725248 = 26715142451
BaseRepresentation
bin1010101100101011…
…0000110011000000
321102010122202110101
42223022300303000
521340130201443
61152543012144
7131110155550
oct25312606300
97363582411
102871725248
111244017757
1268189a054
13369c51112
141d3575160
1511c1a684d
hexab2b0cc0

2871725248 has 56 divisors (see below), whose sum is σ = 6555947264. Its totient is φ = 1222560000.

The previous prime is 2871725209. The next prime is 2871725249. The reversal of 2871725248 is 8425271782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2871725198 and 2871725207.

It is not an unprimeable number, because it can be changed into a prime (2871725249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46423 + ... + 88873.

Almost surely, 22871725248 is an apocalyptic number.

2871725248 is a gapful number since it is divisible by the number (28) 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 2871725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277973632).

2871725248 is an abundant number, since it is smaller than the sum of its proper divisors (3684222016).

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

2871725248 is a wasteful number, since it uses less digits than its factorization.

2871725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42621 (or 42611 counting only the distinct ones).

The product of its digits is 501760, while the sum is 46.

The square root of 2871725248 is about 53588.4805531935. The cubic root of 2871725248 is about 1421.3934031271.

The spelling of 2871725248 in words is "two billion, eight hundred seventy-one million, seven hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 604 1057 1208 2114 2416 4228 4832 8456 9664 16912 33824 42451 67648 84902 169804 297157 339608 594314 679216 1188628 1358432 2377256 2716864 4754512 6410101 9509024 12820202 19018048 25640404 44870707 51280808 89741414 102561616 179482828 205123232 358965656 410246464 717931312 1435862624 2871725248