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644412080 = 245132572411
BaseRepresentation
bin100110011010001…
…111001010110000
31122220120112012002
4212122033022300
52304432141310
6143535553132
721653261264
oct4632171260
91586515162
10644412080
11300832374
1215b98b7a8
13a3678730
14618280a4
153b891da5
hex2668f2b0

644412080 has 80 divisors (see below), whose sum is σ = 1620458784. Its totient is φ = 236912640.

The previous prime is 644412079. The next prime is 644412133. The reversal of 644412080 is 80214446.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266075 + ... + 268485.

Almost surely, 2644412080 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 644412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810229392).

644412080 is an abundant number, since it is smaller than the sum of its proper divisors (976046704).

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

644412080 is a wasteful number, since it uses less digits than its factorization.

644412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 644412080 is about 25385.2728959135. The cubic root of 644412080 is about 863.7496631278.

It can be divided in two parts, 64 and 4412080, that added together give a palindrome (4412144).

The spelling of 644412080 in words is "six hundred forty-four million, four hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 257 260 514 520 1028 1040 1285 2056 2411 2570 3341 4112 4822 5140 6682 9644 10280 12055 13364 16705 19288 20560 24110 26728 31343 33410 38576 48220 53456 62686 66820 96440 125372 133640 156715 192880 250744 267280 313430 501488 619627 626860 1239254 1253720 2478508 2507440 3098135 4957016 6196270 8055151 9914032 12392540 16110302 24785080 32220604 40275755 49570160 64441208 80551510 128882416 161103020 322206040 644412080