Search a number
-
+
65242112 = 21013329
BaseRepresentation
bin1111100011100…
…0010000000000
311112202122100112
43320320100000
5113200221422
610250210452
71421356145
oct370702000
9145678315
1065242112
1133911401
1219a23a28
1310694000
1489443cc
155adaee2
hex3e38400

65242112 has 88 divisors (see below), whose sum is σ = 146155800. Its totient is φ = 29073408.

The previous prime is 65242091. The next prime is 65242127. The reversal of 65242112 is 21124256.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19219456 + 46022656 = 4384^2 + 6784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2249714 + ... + 2249742.

Almost surely, 265242112 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 65242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73077900).

65242112 is an abundant number, since it is smaller than the sum of its proper divisors (80913688).

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

65242112 is an equidigital number, since it uses as much as digits as its factorization.

65242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 65242112 is about 8077.2589410022. The cubic root of 65242112 is about 402.5711706253.

Adding to 65242112 its reverse (21124256), we get a palindrome (86366368).

The spelling of 65242112 in words is "sixty-five million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 256 338 377 416 464 512 676 754 832 928 1024 1352 1508 1664 1856 2197 2704 3016 3328 3712 4394 4901 5408 6032 6656 7424 8788 9802 10816 12064 13312 14848 17576 19604 21632 24128 29696 35152 39208 43264 48256 63713 70304 78416 86528 96512 127426 140608 156832 173056 193024 254852 281216 313664 386048 509704 562432 627328 1019408 1124864 1254656 2038816 2249728 2509312 4077632 5018624 8155264 16310528 32621056 65242112