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643151072 = 25179911193
BaseRepresentation
bin100110010101011…
…011010011100000
31122211012110102002
4212111123103200
52304121313242
6143452543132
721636460004
oct4625332340
91584173362
10643151072
11300050a13
1215b481aa8
13a3326785
14615ba704
153b6e3432
hex2655b4e0

643151072 has 48 divisors (see below), whose sum is σ = 1343164032. Its totient is φ = 302100480.

The previous prime is 643151071. The next prime is 643151111. The reversal of 643151072 is 270151346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643151071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538508 + ... + 539700.

It is an arithmetic number, because the mean of its divisors is an integer number (27982584).

Almost surely, 2643151072 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 643151072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671582016).

643151072 is an abundant number, since it is smaller than the sum of its proper divisors (700012960).

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

643151072 is a wasteful number, since it uses less digits than its factorization.

643151072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 643151072 is about 25360.4233403151. The cubic root of 643151072 is about 863.1858900905.

The spelling of 643151072 in words is "six hundred forty-three million, one hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 991 1193 1982 2386 3964 4772 7928 9544 15856 16847 19088 20281 31712 33694 38176 40562 67388 81124 134776 162248 269552 324496 539104 648992 1182263 2364526 4729052 9458104 18916208 20098471 37832416 40196942 80393884 160787768 321575536 643151072