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272404288 = 2613327409
BaseRepresentation
bin10000001111001…
…000111101000000
3200222120120102201
4100033020331000
51024213414123
643010322544
76515253412
oct2017107500
9628516381
10272404288
1112a846412
1277289454
1344588290
142826c9b2
1518dac5ad
hex103c8f40

272404288 has 28 divisors (see below), whose sum is σ = 582134980. Its totient is φ = 125724672.

The previous prime is 272404271. The next prime is 272404289. The reversal of 272404288 is 882404272.

It can be written as a sum of positive squares in 2 ways, for example, as 181926144 + 90478144 = 13488^2 + 9512^2 .

It is a super-2 number, since 2×2724042882 = 148408192241573888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272404289) 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 3 ways as a sum of consecutive naturals, for example, 162873 + ... + 164536.

It is an arithmetic number, because the mean of its divisors is an integer number (20790535).

Almost surely, 2272404288 is an apocalyptic number.

It is an amenable number.

272404288 is an abundant number, since it is smaller than the sum of its proper divisors (309730692).

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

272404288 is a wasteful number, since it uses less digits than its factorization.

272404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327434 (or 327424 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 272404288 is about 16504.6747317237. The cubic root of 272404288 is about 648.2432151087.

The spelling of 272404288 in words is "two hundred seventy-two million, four hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 327409 654818 1309636 2619272 4256317 5238544 8512634 10477088 17025268 20954176 34050536 68101072 136202144 272404288