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4828668240 = 2435111829041
BaseRepresentation
bin1000111111100111…
…11010000101010000
3110110111222202120110
410133303322011100
534342114340430
62115051041320
7230442000654
oct43763720520
913414882513
104828668240
112058725a10
12b29140240
135bc501356
1433b422a64
151d3db17b0
hex11fcfa150

4828668240 has 80 divisors (see below), whose sum is σ = 16329686976. Its totient is φ = 1170585600.

The previous prime is 4828668217. The next prime is 4828668241. The reversal of 4828668240 is 428668284.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4828668240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4828668241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911881 + ... + 917160.

Almost surely, 24828668240 is an apocalyptic number.

4828668240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4828668240 is an abundant number, since it is smaller than the sum of its proper divisors (11501018736).

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

4828668240 is a wasteful number, since it uses less digits than its factorization.

4828668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829068 (or 1829062 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 4828668240 is about 69488.6194998865. The cubic root of 4828668240 is about 1690.2169626800.

The spelling of 4828668240 in words is "four billion, eight hundred twenty-eight million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1829041 3658082 5487123 7316164 9145205 10974246 14632328 18290410 20119451 21948492 27435615 29264656 36580820 40238902 43896984 54871230 60358353 73161640 80477804 87793968 100597255 109742460 120716706 146323280 160955608 201194510 219484920 241433412 301791765 321911216 402389020 438969840 482866824 603583530 804778040 965733648 1207167060 1609556080 2414334120 4828668240