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273031712 = 252321272
BaseRepresentation
bin10000010001100…
…010001000100000
3201000202110002122
4100101202020200
51024344003322
643032003412
76523505552
oct2021421040
9630673078
10273031712
11130134848
1277530568
1344747a35
14283934d2
1518e83442
hex10462220

273031712 has 54 divisors (see below), whose sum is σ = 566377623. Its totient is φ = 129552192.

The previous prime is 273031711. The next prime is 273031721. The reversal of 273031712 is 217130372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 136515856 + 136515856 = 11684^2 + 11684^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11684.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (273031711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2149793 + ... + 2149919.

Almost surely, 2273031712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273031712

273031712 is an abundant number, since it is smaller than the sum of its proper divisors (293345911).

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

273031712 is an equidigital number, since it uses as much as digits as its factorization.

273031712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 273031712 is about 16523.6712627672. The cubic root of 273031712 is about 648.7405292133.

The spelling of 273031712 in words is "two hundred seventy-three million, thirty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 127 184 254 368 508 529 736 1016 1058 2032 2116 2921 4064 4232 5842 8464 11684 16129 16928 23368 32258 46736 64516 67183 93472 129032 134366 258064 268732 370967 516128 537464 741934 1074928 1483868 2149856 2967736 5935472 8532241 11870944 17064482 34128964 68257928 136515856 273031712