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57503007 = 332129741
BaseRepresentation
bin1101101101011…
…0110100011111
311000012110022000
43123112310133
5104210044012
65412253343
71265524152
oct333266437
9130173260
1057503007
112a505951
1217311253
13bbb4563
1478cbc99
1550acddc
hex36d6d1f

57503007 has 8 divisors (see below), whose sum is σ = 85189680. Its totient is φ = 38335320.

The previous prime is 57502961. The next prime is 57503011. The reversal of 57503007 is 70030575.

It is not a de Polignac number, because 57503007 - 28 = 57502751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2129741 = 57503007 / (5 + 7 + 5 + 0 + 3 + 0 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57503057) 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 7 ways as a sum of consecutive naturals, for example, 1064844 + ... + 1064897.

It is an arithmetic number, because the mean of its divisors is an integer number (10648710).

Almost surely, 257503007 is an apocalyptic number.

57503007 is a deficient number, since it is larger than the sum of its proper divisors (27686673).

57503007 is a wasteful number, since it uses less digits than its factorization.

57503007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129750 (or 2129744 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 57503007 is about 7583.0737171677. The cubic root of 57503007 is about 385.9788595722.

The spelling of 57503007 in words is "fifty-seven million, five hundred three thousand, seven".

Divisors: 1 3 9 27 2129741 6389223 19167669 57503007