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65268444 = 22329372137
BaseRepresentation
bin1111100011111…
…0101011011100
311112210222110210
43320332223130
5113202042234
610250532420
71421526003
oct370765334
9145728423
1065268444
113392a16a
1219a37110
13106a2ca7
14894dc3a
155ae3be9
hex3e3eadc

65268444 has 72 divisors (see below), whose sum is σ = 163099440. Its totient is φ = 20289024.

The previous prime is 65268421. The next prime is 65268449. The reversal of 65268444 is 44486256.

It is a super-2 number, since 2×652684442 = 8519939564362272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65268449) 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 23 ways as a sum of consecutive naturals, for example, 476344 + ... + 476480.

It is an arithmetic number, because the mean of its divisors is an integer number (2265270).

Almost surely, 265268444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65268444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81549720).

65268444 is an abundant number, since it is smaller than the sum of its proper divisors (97830996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65268444 is a wasteful number, since it uses less digits than its factorization.

65268444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 208 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 65268444 is about 8078.8887849753. Note that the first 3 decimals coincide. The cubic root of 65268444 is about 402.6253231653.

It can be divided in two parts, 652 and 68444, that added together give a palindrome (69096).

The spelling of 65268444 in words is "sixty-five million, two hundred sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 137 148 174 222 274 348 411 444 548 822 1073 1369 1644 2146 2738 3219 3973 4107 4292 5069 5476 6438 7946 8214 10138 11919 12876 15207 15892 16428 20276 23838 30414 39701 47676 60828 79402 119103 147001 158804 187553 238206 294002 375106 441003 476412 562659 588004 750212 882006 1125318 1764012 2250636 5439037 10878074 16317111 21756148 32634222 65268444