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65293241 = 1361137601
BaseRepresentation
bin1111100100010…
…0101110111001
311112212020111012
43321010232321
5113203340431
610251243305
71421661206
oct371045671
9145766435
1065293241
1133946862
1219a49535
13106b1370
148958cad
155aeb22b
hex3e44bb9

65293241 has 16 divisors (see below), whose sum is σ = 72109968. Its totient is φ = 58752000.

The previous prime is 65293213. The next prime is 65293247. The reversal of 65293241 is 14239256.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4515625 + 60777616 = 2125^2 + 7796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65293241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65293198 and 65293207.

It is not an unprimeable number, because it can be changed into a prime (65293247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108341 + ... + 108941.

It is an arithmetic number, because the mean of its divisors is an integer number (4506873).

Almost surely, 265293241 is an apocalyptic number.

65293241 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

65293241 is a deficient number, since it is larger than the sum of its proper divisors (6816727).

65293241 is a wasteful number, since it uses less digits than its factorization.

65293241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812.

The product of its digits is 12960, while the sum is 32.

The square root of 65293241 is about 8080.4233181189. The cubic root of 65293241 is about 402.6763056178.

The spelling of 65293241 in words is "sixty-five million, two hundred ninety-three thousand, two hundred forty-one".

Divisors: 1 13 61 137 601 793 1781 7813 8357 36661 82337 108641 476593 1070381 5022557 65293241