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65296416 = 2533137593
BaseRepresentation
bin1111100100010…
…1100000100000
311112212101211210
43321011200200
5113203441131
610251310120
71422003363
oct371054040
9145771753
1065296416
1133949189
1219a4b340
13106b2943
14895a0da
155aec146
hex3e45820

65296416 has 96 divisors (see below), whose sum is σ = 182020608. Its totient is φ = 20459520.

The previous prime is 65296411. The next prime is 65296417. The reversal of 65296416 is 61469256.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (65296411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109816 + ... + 110408.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 265296416 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 65296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304).

65296416 is an abundant number, since it is smaller than the sum of its proper divisors (116724192).

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

65296416 is a wasteful number, since it uses less digits than its factorization.

65296416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 65296416 is about 8080.6197782101. The cubic root of 65296416 is about 402.6828324626.

The spelling of 65296416 in words is "sixty-five million, two hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 593 744 888 992 1147 1184 1186 1488 1776 1779 2294 2372 2976 3441 3552 3558 4588 4744 6882 7116 9176 9488 13764 14232 18352 18383 18976 21941 27528 28464 36704 36766 43882 55056 55149 56928 65823 73532 87764 110112 110298 131646 147064 175528 220596 263292 294128 351056 441192 526584 588256 680171 702112 882384 1053168 1360342 1764768 2040513 2106336 2720684 4081026 5441368 8162052 10882736 16324104 21765472 32648208 65296416