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643125380 = 225311576607
BaseRepresentation
bin100110010101010…
…101000010000100
31122211011011011112
4212111111002010
52304120003010
6143452224152
721636322052
oct4625250204
91584134145
10643125380
11300033687
1215b46b058
13a3317b81
14615b11d2
153b6daa05
hex26555084

643125380 has 48 divisors (see below), whose sum is σ = 1403222016. Its totient is φ = 247328640.

The previous prime is 643125377. The next prime is 643125383. The reversal of 643125380 is 83521346.

It is an interprime number because it is at equal distance from previous prime (643125377) and next prime (643125383).

It is a super-2 number, since 2×6431253802 = 827220508800288800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (643125383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94037 + ... + 100643.

It is an arithmetic number, because the mean of its divisors is an integer number (29233792).

Almost surely, 2643125380 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 643125380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701611008).

643125380 is an abundant number, since it is smaller than the sum of its proper divisors (760096636).

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

643125380 is a wasteful number, since it uses less digits than its factorization.

643125380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 643125380 is about 25359.9167979708. The cubic root of 643125380 is about 863.1743960221.

The spelling of 643125380 in words is "six hundred forty-three million, one hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 157 310 314 620 628 785 1570 3140 4867 6607 9734 13214 19468 24335 26428 33035 48670 66070 97340 132140 204817 409634 819268 1024085 1037299 2048170 2074598 4096340 4149196 5186495 10372990 20745980 32156269 64312538 128625076 160781345 321562690 643125380