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57288232 = 2317894733
BaseRepresentation
bin1101101010001…
…0011000101000
310222210112200101
43122202120220
5104131210412
65403515144
71263641041
oct332423050
9128715611
1057288232
112a379551
1217228ab4
13bb3a881
1478738c8
155069457
hex36a2628

57288232 has 32 divisors (see below), whose sum is σ = 115036200. Its totient is φ = 26650624.

The previous prime is 57288227. The next prime is 57288251. The reversal of 57288232 is 23288275.

It can be written as a sum of positive squares in 4 ways, for example, as 39765636 + 17522596 = 6306^2 + 4186^2 .

It is a super-3 number, since 3×572882323 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57288191 and 57288200.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9738 + ... + 14470.

Almost surely, 257288232 is an apocalyptic number.

It is an amenable number.

57288232 is an abundant number, since it is smaller than the sum of its proper divisors (57747968).

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

57288232 is a wasteful number, since it uses less digits than its factorization.

57288232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4841 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 57288232 is about 7568.8989952304. The cubic root of 57288232 is about 385.4977135246.

It can be divided in two parts, 572 and 88232, that added together give a square (88804 = 2982).

The spelling of 57288232 in words is "fifty-seven million, two hundred eighty-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 8 17 34 68 89 136 178 356 712 1513 3026 4733 6052 9466 12104 18932 37864 80461 160922 321844 421237 643688 842474 1684948 3369896 7161029 14322058 28644116 57288232