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65440284 = 22373131223
BaseRepresentation
bin1111100110100…
…0101000011100
311120010201012020
43321220220130
5113223042114
610254340140
71423143000
oct371505034
9146121166
1065440284
1133a37288
1219aba650
1310733280
148996700
155b29aa9
hex3e68a1c

65440284 has 96 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 17244864.

The previous prime is 65440283. The next prime is 65440301. The reversal of 65440284 is 48204456.

65440284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65440283) 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 31 ways as a sum of consecutive naturals, for example, 52897 + ... + 54119.

It is an arithmetic number, because the mean of its divisors is an integer number (1999200).

Almost surely, 265440284 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 65440284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

65440284 is an abundant number, since it is smaller than the sum of its proper divisors (126482916).

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

65440284 is a wasteful number, since it uses less digits than its factorization.

65440284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 65440284 is about 8089.5169200639. The cubic root of 65440284 is about 402.9783600536.

The spelling of 65440284 in words is "sixty-five million, four hundred forty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1223 1274 1372 1911 2058 2446 2548 3669 3822 4116 4459 4892 7338 7644 8561 8918 13377 14676 15899 17122 17836 25683 26754 31798 34244 47697 51366 53508 59927 63596 95394 102732 111293 119854 179781 190788 222586 239708 333879 359562 419489 445172 667758 719124 779051 838978 1258467 1335516 1558102 1677956 2337153 2516934 3116204 4674306 5033868 5453357 9348612 10906714 16360071 21813428 32720142 65440284