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5786325630 = 2325293476389
BaseRepresentation
bin1010110001110010…
…00101001001111110
3112221020222210112200
411120321011021332
543322244410010
62354101012330
7263250646011
oct53071051176
915836883480
105786325630
1124aa2590a8
1211559b40a6
13712a34627
143cc6ab378
1523cecbcc0
hex158e4527e

5786325630 has 96 divisors (see below), whose sum is σ = 15610514400. Its totient is φ = 1485286656.

The previous prime is 5786325599. The next prime is 5786325631. The reversal of 5786325630 is 365236875.

5786325630 is a `hidden beast` number, since 5 + 7 + 8 + 6 + 3 + 2 + 5 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5786325631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902476 + ... + 908864.

It is an arithmetic number, because the mean of its divisors is an integer number (162609525).

Almost surely, 25786325630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5786325630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805257200).

5786325630 is an abundant number, since it is smaller than the sum of its proper divisors (9824188770).

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

5786325630 is a wasteful number, since it uses less digits than its factorization.

5786325630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5786325630 is about 76067.9014433815. The cubic root of 5786325630 is about 1795.2886700384.

The spelling of 5786325630 in words is "five billion, seven hundred eighty-six million, three hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 347 435 522 694 870 1041 1305 1735 2082 2610 3123 3470 5205 6246 6389 10063 10410 12778 15615 19167 20126 30189 31230 31945 38334 50315 57501 60378 63890 90567 95835 100630 115002 150945 181134 185281 191670 287505 301890 370562 452835 555843 575010 905670 926405 1111686 1667529 1852810 2216983 2779215 3335058 4433966 5558430 6650949 8337645 11084915 13301898 16675290 19952847 22169830 33254745 39905694 64292507 66509490 99764235 128585014 192877521 199528470 321462535 385755042 578632563 642925070 964387605 1157265126 1928775210 2893162815 5786325630