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65057837 = 1310149549
BaseRepresentation
bin1111100000101…
…1010000101101
311112102021120112
43320023100231
5113123322322
610242225405
71416660665
oct370132055
9145367515
1065057837
11337a5a09
1219955265
131062b180
1488d71a5
155aa15e2
hex3e0b42d

65057837 has 8 divisors (see below), whose sum is σ = 70757400. Its totient is φ = 59457600.

The previous prime is 65057833. The next prime is 65057873. The reversal of 65057837 is 73875056.

65057837 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 25694761 + 39363076 = 5069^2 + 6274^2 .

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 65057837 - 22 = 65057833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65057794 and 65057803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65057831) 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, 23462 + ... + 26087.

It is an arithmetic number, because the mean of its divisors is an integer number (8844675).

Almost surely, 265057837 is an apocalyptic number.

It is an amenable number.

65057837 is a deficient number, since it is larger than the sum of its proper divisors (5699563).

65057837 is a wasteful number, since it uses less digits than its factorization.

65057837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49663.

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 65057837 is about 8065.8438492200. The cubic root of 65057837 is about 402.1917952314.

The spelling of 65057837 in words is "sixty-five million, fifty-seven thousand, eight hundred thirty-seven".

Divisors: 1 13 101 1313 49549 644137 5004449 65057837