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57124033 = 732692909
BaseRepresentation
bin1101100111101…
…0010011000001
310222111012102221
43121322103001
5104110432113
65400211041
71262355241
oct331722301
9128435387
1057124033
112a27714a
1217169a81
13bab0c05
14782db21
15503598d
hex367a4c1

57124033 has 8 divisors (see below), whose sum is σ = 58141800. Its totient is φ = 56112768.

The previous prime is 57124009. The next prime is 57124043. The reversal of 57124033 is 33042175.

57124033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7463824 + 49660209 = 2732^2 + 7047^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57124033 - 217 = 56992961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57123989 and 57124007.

It is not an unprimeable number, because it can be changed into a prime (57124043) 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, 18183 + ... + 21091.

It is an arithmetic number, because the mean of its divisors is an integer number (7267725).

Almost surely, 257124033 is an apocalyptic number.

It is an amenable number.

57124033 is a deficient number, since it is larger than the sum of its proper divisors (1017767).

57124033 is a wasteful number, since it uses less digits than its factorization.

57124033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 57124033 is about 7558.0442576106. The cubic root of 57124033 is about 385.1290577619.

The spelling of 57124033 in words is "fifty-seven million, one hundred twenty-four thousand, thirty-three".

Divisors: 1 73 269 2909 19637 212357 782521 57124033