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65890448 = 24134353139
BaseRepresentation
bin1111101101011…
…0100010010000
311120222120200222
43323112202100
5113331443243
610312132212
71430026301
oct373264220
9146876628
1065890448
1134214518
121a097068
1310860140
148a727a8
155bb8168
hex3ed6890

65890448 has 80 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 28933632.

The previous prime is 65890441. The next prime is 65890471. The reversal of 65890448 is 84409856.

It is a happy number.

65890448 is nontrivially palindromic in base 14.

65890448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×658904482 = 8683102275281408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65890399 and 65890408.

It is not an unprimeable number, because it can be changed into a prime (65890441) 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, 473963 + ... + 474101.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 265890448 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 65890448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

65890448 is an abundant number, since it is smaller than the sum of its proper divisors (78475312).

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

65890448 is a wasteful number, since it uses less digits than its factorization.

65890448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 65890448 is about 8117.2931448852. The cubic root of 65890448 is about 403.9002792794.

The spelling of 65890448 in words is "sixty-five million, eight hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 43 52 53 86 104 106 139 172 208 212 278 344 424 556 559 688 689 848 1112 1118 1378 1807 2224 2236 2279 2756 3614 4472 4558 5512 5977 7228 7367 8944 9116 11024 11954 14456 14734 18232 23908 28912 29468 29627 36464 47816 58936 59254 77701 95632 95771 117872 118508 155402 191542 237016 310804 316781 383084 474032 621608 633562 766168 1243216 1267124 1532336 2534248 4118153 5068496 8236306 16472612 32945224 65890448