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5757973 = 135361137
BaseRepresentation
bin10101111101110000010101
3101211112110021
4111331300111
52433223343
6323225141
766641044
oct25756025
911745407
105757973
113283061
121b181b1
131267ab0
14a9c55b
1578b0ed
hex57dc15

5757973 has 16 divisors (see below), whose sum is σ = 6468336. Its totient is φ = 5091840.

The previous prime is 5757967. The next prime is 5757989. The reversal of 5757973 is 3797575.

5757973 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 636804 + 5121169 = 798^2 + 2263^2 .

It is not a de Polignac number, because 5757973 - 213 = 5749781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757943) 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 15 ways as a sum of consecutive naturals, for example, 41961 + ... + 42097.

It is an arithmetic number, because the mean of its divisors is an integer number (404271).

Almost surely, 25757973 is an apocalyptic number.

5757973 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

5757973 is a deficient number, since it is larger than the sum of its proper divisors (710363).

5757973 is a wasteful number, since it uses less digits than its factorization.

5757973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its digits is 231525, while the sum is 43.

The square root of 5757973 is about 2399.5776711747. The cubic root of 5757973 is about 179.2351600632.

The spelling of 5757973 in words is "five million, seven hundred fifty-seven thousand, nine hundred seventy-three".

Divisors: 1 13 53 61 137 689 793 1781 3233 7261 8357 42029 94393 108641 442921 5757973