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643880272 = 247291371447
BaseRepresentation
bin100110011000001…
…101010101010000
31122212120111200111
4212120031111100
52304313132042
6143520331104
721645614650
oct4630152520
91585514614
10643880272
113004a9862
1215b773a94
13a3520659
146172a360
153b7d9517
hex2660d550

643880272 has 80 divisors (see below), whose sum is σ = 1486690560. Its totient is φ = 264305664.

The previous prime is 643880269. The next prime is 643880273. The reversal of 643880272 is 272088346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643880273) 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, 444253 + ... + 445699.

It is an arithmetic number, because the mean of its divisors is an integer number (18583632).

Almost surely, 2643880272 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 643880272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743345280).

643880272 is an abundant number, since it is smaller than the sum of its proper divisors (842810288).

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

643880272 is a wasteful number, since it uses less digits than its factorization.

643880272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 643880272 is about 25374.7959991800. The cubic root of 643880272 is about 863.5119915023.

The spelling of 643880272 in words is "six hundred forty-three million, eight hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 137 203 232 274 406 464 548 812 959 1096 1447 1624 1918 2192 2894 3248 3836 3973 5788 7672 7946 10129 11576 15344 15892 20258 23152 27811 31784 40516 41963 55622 63568 81032 83926 111244 162064 167852 198239 222488 293741 335704 396478 444976 587482 671408 792956 1174964 1387673 1585912 2349928 2775346 3171824 4699856 5550692 5748931 11101384 11497862 22202768 22995724 40242517 45991448 80485034 91982896 160970068 321940136 643880272