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5684827752 = 2333234192731
BaseRepresentation
bin1010100101101011…
…11001011001101000
3112200012000011122000
411102311321121220
543120303442002
62340033331000
7260606144562
oct52265713150
915605004560
105684827752
112457a3425a
121127a06a60
136c79b8106
143bd00a332
1523412d61c
hex152d79668

5684827752 has 128 divisors (see below), whose sum is σ = 16523136000. Its totient is φ = 1807565760.

The previous prime is 5684827711. The next prime is 5684827763. The reversal of 5684827752 is 2577284865.

5684827752 is a `hidden beast` number, since 568 + 4 + 8 + 2 + 7 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2080227 + ... + 2082957.

It is an arithmetic number, because the mean of its divisors is an integer number (129087000).

Almost surely, 25684827752 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 5684827752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261568000).

5684827752 is an abundant number, since it is smaller than the sum of its proper divisors (10838308248).

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

5684827752 is a wasteful number, since it uses less digits than its factorization.

5684827752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3178 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 5684827752 is about 75397.7967317348. The cubic root of 5684827752 is about 1784.7296419853.

The spelling of 5684827752 in words is "five billion, six hundred eighty-four million, eight hundred twenty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 419 552 621 828 838 1242 1257 1656 1676 2484 2514 2731 3352 3771 4968 5028 5462 7542 8193 9637 10056 10924 11313 15084 16386 19274 21848 22626 24579 28911 30168 32772 38548 45252 49158 57822 62813 65544 73737 77096 86733 90504 98316 115644 125626 147474 173466 188439 196632 231288 251252 260199 294948 346932 376878 502504 520398 565317 589896 693864 753756 1040796 1130634 1144289 1507512 1695951 2081592 2261268 2288578 3391902 3432867 4522536 4577156 6783804 6865734 9154312 10298601 13567608 13731468 20597202 26318647 27462936 30895803 41194404 52637294 61791606 78955941 82388808 105274588 123583212 157911882 210549176 236867823 247166424 315823764 473735646 631647528 710603469 947471292 1421206938 1894942584 2842413876 5684827752