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5244411040 = 255112299341
BaseRepresentation
bin1001110001001011…
…10101110010100000
3111112111021200110221
410320211311302200
541220032123130
62224221532424
7243650521051
oct47045656240
914474250427
105244411040
112251373700
121024414114
136576953cb
1437a724728
1520a63487a
hex138975ca0

5244411040 has 144 divisors (see below), whose sum is σ = 14089791240. Its totient is φ = 1841100800.

The previous prime is 5244410999. The next prime is 5244411071. The reversal of 5244411040 is 401144425.

It can be written as a sum of positive squares in 4 ways, for example, as 3789141136 + 1455269904 = 61556^2 + 38148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5244410996 and 5244411014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556770 + ... + 566110.

Almost surely, 25244411040 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 5244411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044895620).

5244411040 is an abundant number, since it is smaller than the sum of its proper divisors (8845380200).

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

5244411040 is a wasteful number, since it uses less digits than its factorization.

5244411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 5244411040 is about 72418.3059730066. The cubic root of 5244411040 is about 1737.3963614321.

Adding to 5244411040 its reverse (401144425), we get a palindrome (5645555465).

The spelling of 5244411040 in words is "five billion, two hundred forty-four million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 121 145 160 176 220 232 242 290 319 352 440 464 484 580 605 638 880 928 968 1160 1210 1276 1595 1760 1936 2320 2420 2552 3190 3509 3872 4640 4840 5104 6380 7018 9341 9680 10208 12760 14036 17545 18682 19360 25520 28072 35090 37364 46705 51040 56144 70180 74728 93410 102751 112288 140360 149456 186820 205502 270889 280720 298912 373640 411004 513755 541778 561440 747280 822008 1027510 1083556 1130261 1354445 1494560 1644016 2055020 2167112 2260522 2708890 2979779 3288032 4110040 4334224 4521044 5417780 5651305 5959558 8220080 8668448 9042088 10835560 11302610 11919116 14898895 16440160 18084176 21671120 22605220 23838232 29797790 32777569 36168352 43342240 45210440 47676464 59595580 65555138 90420880 95352928 119191160 131110276 163887845 180841760 238382320 262220552 327775690 476764640 524441104 655551380 1048882208 1311102760 2622205520 5244411040