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6328872280 = 2352312754167
BaseRepresentation
bin1011110010011101…
…01110110101011000
3121100001220000122001
411321032232311120
5100430142403110
62524001410344
7312556345453
oct57116566530
917301800561
106328872280
112758535465
1212876399b4
1379b265453
1444077a49a
1527094b63a
hex1793aed58

6328872280 has 64 divisors (see below), whose sum is σ = 14976368640. Its totient is φ = 2402370432.

The previous prime is 6328872271. The next prime is 6328872289. The reversal of 6328872280 is 822788236.

6328872280 = T50312 + T50313 + ... + T50316.

It is an interprime number because it is at equal distance from previous prime (6328872271) and next prime (6328872289).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 6328872280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6328872289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89757 + ... + 143923.

It is an arithmetic number, because the mean of its divisors is an integer number (234005760).

Almost surely, 26328872280 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 6328872280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488184320).

6328872280 is an abundant number, since it is smaller than the sum of its proper divisors (8647496360).

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

6328872280 is a wasteful number, since it uses less digits than its factorization.

6328872280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54328 (or 54324 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 6328872280 is about 79554.2096937679. The cubic root of 6328872280 is about 1849.7318608212.

The spelling of 6328872280 in words is "six billion, three hundred twenty-eight million, eight hundred seventy-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 127 184 230 254 460 508 635 920 1016 1270 2540 2921 5080 5842 11684 14605 23368 29210 54167 58420 108334 116840 216668 270835 433336 541670 1083340 1245841 2166680 2491682 4983364 6229205 6879209 9966728 12458410 13758418 24916820 27516836 34396045 49833640 55033672 68792090 137584180 158221807 275168360 316443614 632887228 791109035 1265774456 1582218070 3164436140 6328872280