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5257708040 = 2351343832833
BaseRepresentation
bin1001110010110001…
…00100001000001000
3111120102022020112102
410321120210020020
541231433124130
62225414532532
7244201531604
oct47130441010
914512266472
105257708040
112258925962
121028967148
1365a36c860
1437c3c6504
1520b8ae645
hex139624208

5257708040 has 128 divisors (see below), whose sum is σ = 13197824640. Its totient is φ = 1872654336.

The previous prime is 5257708013. The next prime is 5257708061. The reversal of 5257708040 is 408077525.

It is a junction number, because it is equal to n+sod(n) for n = 5257707985 and 5257708003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1854464 + ... + 1857296.

It is an arithmetic number, because the mean of its divisors is an integer number (103108005).

Almost surely, 25257708040 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 5257708040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598912320).

5257708040 is an abundant number, since it is smaller than the sum of its proper divisors (7940116600).

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

5257708040 is a wasteful number, since it uses less digits than its factorization.

5257708040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 5257708040 is about 72510.0547510481. The cubic root of 5257708040 is about 1738.8634891243.

The spelling of 5257708040 in words is "five billion, two hundred fifty-seven million, seven hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 83 86 104 130 166 172 215 260 332 344 415 430 520 559 664 830 860 1079 1118 1660 1720 2158 2236 2795 2833 3320 3569 4316 4472 5395 5590 5666 7138 8632 10790 11180 11332 14165 14276 17845 21580 22360 22664 28330 28552 35690 36829 43160 46397 56660 71380 73658 92794 113320 121819 142760 147316 184145 185588 231985 235139 243638 294632 368290 371176 463970 470278 487276 609095 736580 927940 940556 974552 1175695 1218190 1473160 1583647 1855880 1881112 2351390 2436380 3056807 3167294 4702780 4872760 6113614 6334588 7918235 9405560 10110977 12227228 12669176 15284035 15836470 20221954 24454456 30568070 31672940 40443908 50554885 61136140 63345880 80887816 101109770 122272280 131442701 202219540 262885402 404439080 525770804 657213505 1051541608 1314427010 2628854020 5257708040