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5747393952 = 253273461593
BaseRepresentation
bin1010101101001001…
…00100010110100000
3112211112201212022200
411112210210112200
543232313101302
62350150333200
7262266020406
oct52644442640
915745655280
105747393952
11248a288163
12114495a200
13707953131
143c7455476
1523988b81c
hex1569245a0

5747393952 has 144 divisors (see below), whose sum is σ = 16631983368. Its totient is φ = 1882275840.

The previous prime is 5747393929. The next prime is 5747393957. The reversal of 5747393952 is 2593937475.

5747393952 is a `hidden beast` number, since 574 + 7 + 39 + 39 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4906161936 + 841232016 = 70044^2 + 29004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5747393957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9691768 + ... + 9692360.

Almost surely, 25747393952 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 5747393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315991684).

5747393952 is an abundant number, since it is smaller than the sum of its proper divisors (10884589416).

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

5747393952 is a wasteful number, since it uses less digits than its factorization.

5747393952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1132 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The square root of 5747393952 is about 75811.5687214029. The cubic root of 5747393952 is about 1791.2532396885.

The spelling of 5747393952 in words is "five billion, seven hundred forty-seven million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 461 584 593 657 876 922 1168 1186 1314 1383 1752 1779 1844 2336 2372 2628 2766 3504 3558 3688 4149 4744 5256 5337 5532 7008 7116 7376 8298 9488 10512 10674 11064 14232 14752 16596 18976 21024 21348 22128 28464 33192 33653 42696 43289 44256 56928 66384 67306 85392 86578 100959 129867 132768 134612 170784 173156 201918 259734 269224 273373 302877 346312 389601 403836 519468 538448 546746 605754 692624 779202 807672 820119 1038936 1076896 1093492 1211508 1385248 1558404 1615344 1640238 2077872 2186984 2423016 2460357 3116808 3230688 3280476 4155744 4373968 4846032 4920714 6233616 6560952 8747936 9692064 9841428 12467232 13121904 19682856 19956229 26243808 39365712 39912458 59868687 78731424 79824916 119737374 159649832 179606061 239474748 319299664 359212122 478949496 638599328 718424244 957898992 1436848488 1915797984 2873696976 5747393952