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2426484240 = 243253370117
BaseRepresentation
bin1001000010100001…
…0011011000010000
320021002212011121200
42100220103120100
514432134443430
61040435551200
7114062530035
oct22050233020
96232764550
102426484240
111035761584
1257875b500
132c892c5bb
1419039538c
15e3058460
hex90a13610

2426484240 has 60 divisors (see below), whose sum is σ = 8148945324. Its totient is φ = 647062272.

The previous prime is 2426484233. The next prime is 2426484251. The reversal of 2426484240 is 424846242.

It is a happy number.

2426484240 is a `hidden beast` number, since 2 + 4 + 2 + 648 + 4 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1852785936 + 573698304 = 43044^2 + 23952^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 2426484195 and 2426484204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1684339 + ... + 1685778.

Almost surely, 22426484240 is an apocalyptic number.

2426484240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2426484240 is an abundant number, since it is smaller than the sum of its proper divisors (5722461084).

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

2426484240 is a wasteful number, since it uses less digits than its factorization.

2426484240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370136 (or 3370127 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2426484240 is about 49259.3568776532. The cubic root of 2426484240 is about 1343.7727347442.

The spelling of 2426484240 in words is "two billion, four hundred twenty-six million, four hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3370117 6740234 10110351 13480468 16850585 20220702 26960936 30331053 33701170 40441404 50551755 53921872 60662106 67402340 80882808 101103510 121324212 134804680 151655265 161765616 202207020 242648424 269609360 303310530 404414040 485296848 606621060 808828080 1213242120 2426484240