Search a number
-
+
65940048 = 2433152639
BaseRepresentation
bin1111101110001…
…0101001010000
311121002002202000
43323202221100
5113340040143
610313154000
71430324016
oct373425120
9147062660
1065940048
1134248809
121a0bb900
13108798a5
148a868b6
155bc7bd3
hex3ee2a50

65940048 has 40 divisors (see below), whose sum is σ = 189273600. Its totient is φ = 21979872.

The previous prime is 65940041. The next prime is 65940079. The reversal of 65940048 is 84004956.

65940048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65939994 and 65940021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65940041) 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, 75888 + ... + 76751.

It is an arithmetic number, because the mean of its divisors is an integer number (4731840).

Almost surely, 265940048 is an apocalyptic number.

It is an amenable number.

65940048 is an abundant number, since it is smaller than the sum of its proper divisors (123333552).

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

65940048 is a wasteful number, since it uses less digits than its factorization.

65940048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152656 (or 152644 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65940048 is about 8120.3477758037. The cubic root of 65940048 is about 404.0016011439.

The spelling of 65940048 in words is "sixty-five million, nine hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 152639 305278 457917 610556 915834 1221112 1373751 1831668 2442224 2747502 3663336 4121253 5495004 7326672 8242506 10990008 16485012 21980016 32970024 65940048