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57468335 = 5103151739
BaseRepresentation
bin1101101100111…
…0010110101111
311000010200201212
43123032112233
5104202441320
65411425035
71265321111
oct333162657
9130120655
1057468335
112a4918a1
12172b517b
13bba1842
1478bd3b1
1550a29c5
hex36ce5af

57468335 has 16 divisors (see below), whose sum is σ = 70187520. Its totient is φ = 45165600.

The previous prime is 57468319. The next prime is 57468337. The reversal of 57468335 is 53386475.

It is not a de Polignac number, because 57468335 - 24 = 57468319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57468292 and 57468301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57468337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77396 + ... + 78134.

It is an arithmetic number, because the mean of its divisors is an integer number (4386720).

Almost surely, 257468335 is an apocalyptic number.

57468335 is a deficient number, since it is larger than the sum of its proper divisors (12719185).

57468335 is a wasteful number, since it uses less digits than its factorization.

57468335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998.

The product of its digits is 302400, while the sum is 41.

The square root of 57468335 is about 7580.7872282501. The cubic root of 57468335 is about 385.9012674001.

The spelling of 57468335 in words is "fifty-seven million, four hundred sixty-eight thousand, three hundred thirty-five".

Divisors: 1 5 103 151 515 739 755 3695 15553 76117 77765 111589 380585 557945 11493667 57468335