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5726406840 = 2335711619741
BaseRepresentation
bin1010101010101001…
…00000100010111000
3112210002020121102020
411111110200202320
543211430004330
62344120434440
7261622440450
oct52524404270
915702217366
105726406840
112479453240
121139918a20
137034b561b
143c4750d60
15237ae3210
hex1555208b8

5726406840 has 128 divisors (see below), whose sum is σ = 21418283520. Its totient is φ = 1189900800.

The previous prime is 5726406823. The next prime is 5726406911. The reversal of 5726406840 is 486046275.

It is a super-3 number, since 3×57264068403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5726406792 and 5726406801.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 300631 + ... + 319110.

It is an arithmetic number, because the mean of its divisors is an integer number (167330340).

Almost surely, 25726406840 is an apocalyptic number.

It is an amenable number.

5726406840 is an abundant number, since it is smaller than the sum of its proper divisors (15691876680).

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

5726406840 is a wasteful number, since it uses less digits than its factorization.

5726406840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619773 (or 619769 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 5726406840 is about 75673.0258414450. The cubic root of 5726406840 is about 1789.0702744433.

The spelling of 5726406840 in words is "five billion, seven hundred twenty-six million, four hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 619741 1239482 1859223 2478964 3098705 3718446 4338187 4957928 6197410 6817151 7436892 8676374 9296115 12394820 13014561 13634302 14873784 17352748 18592230 20451453 21690935 24789640 26029122 27268604 34085755 34705496 37184460 40902906 43381870 47720057 52058244 54537208 65072805 68171510 74368920 81805812 86763740 95440114 102257265 104116488 130145610 136343020 143160171 163611624 173527480 190880228 204514530 238600285 260291220 272686040 286320342 381760456 409029060 477200570 520582440 572640684 715800855 818058120 954401140 1145281368 1431601710 1908802280 2863203420 5726406840