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5842643040 = 2532513312107
BaseRepresentation
bin1010111000011111…
…11010100001100000
3120002011222000111200
411130033322201200
543431204034130
62403432041200
7264533434503
oct53417724140
916064860450
105842643040
112529024213
121170833200
137215c2340
143d5d6b13a
15242e03760
hex15c3fa860

5842643040 has 144 divisors (see below), whose sum is σ = 21471781968. Its totient is φ = 1438184448.

The previous prime is 5842643003. The next prime is 5842643047. The reversal of 5842643040 is 403462485.

5842643040 is a `hidden beast` number, since 5 + 8 + 4 + 2 + 643 + 0 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5842642986 and 5842643004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842643047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137334 + ... + 174773.

It is an arithmetic number, because the mean of its divisors is an integer number (149109597).

Almost surely, 25842643040 is an apocalyptic number.

It is an amenable number.

5842643040 is an abundant number, since it is smaller than the sum of its proper divisors (15629138928).

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

5842643040 is a wasteful number, since it uses less digits than its factorization.

5842643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312141 (or 312130 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5842643040 is about 76437.1836215856. The cubic root of 5842643040 is about 1801.0942975575.

The spelling of 5842643040 in words is "five billion, eight hundred forty-two million, six hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 312107 624214 936321 1248428 1560535 1872642 2496856 2808963 3121070 3745284 4057391 4681605 4993712 5617926 6242140 7490568 8114782 9363210 9987424 11235852 12172173 12484280 14044815 14981136 16229564 18726420 20286955 22471704 24344346 24968560 28089630 29962272 32459128 36516519 37452840 40573910 44943408 48688692 49937120 56179260 60860865 64918256 73033038 74905680 81147820 89886816 97377384 112358520 121721730 129836512 146066076 149811360 162295640 182582595 194754768 224717040 243443460 292132152 324591280 365165190 389509536 449434080 486886920 584264304 649182560 730330380 973773840 1168528608 1460660760 1947547680 2921321520 5842643040