Search a number
-
+
65335248 = 2434114583
BaseRepresentation
bin1111100100111…
…0111111010000
311112221101010000
43321032333100
5113211211443
610252210000
71422224526
oct371167720
9145841100
1065335248
1133975380
1219a69900
13106c7514
14896a316
155b088d3
hex3e4efd0

65335248 has 100 divisors (see below), whose sum is σ = 206335008. Its totient is φ = 19794240.

The previous prime is 65335241. The next prime is 65335253. The reversal of 65335248 is 84253356.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65335241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11965 + ... + 16547.

Almost surely, 265335248 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 65335248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103167504).

65335248 is an abundant number, since it is smaller than the sum of its proper divisors (140999760).

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

65335248 is a wasteful number, since it uses less digits than its factorization.

65335248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4599 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 65335248 is about 8083.0222070708. The cubic root of 65335248 is about 402.7626422589.

It can be divided in two parts, 6533 and 5248, that added together give a triangular number (11781 = T153).

The spelling of 65335248 in words is "sixty-five million, three hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4583 4752 7128 9166 13749 14256 18332 27498 36664 41247 50413 54996 73328 82494 100826 109992 123741 151239 164988 201652 219984 247482 302478 329976 371223 403304 453717 494964 604956 659952 742446 806608 907434 989928 1209912 1361151 1484892 1814868 1979856 2419824 2722302 2969784 3629736 4083453 5444604 5939568 7259472 8166906 10889208 16333812 21778416 32667624 65335248