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2813738840 = 235112581351
BaseRepresentation
bin1010011110110110…
…0011111101011000
321021002112202001122
42213231203331120
521230304120330
61143112104412
7126504246143
oct24755437530
97232482048
102813738840
111214311700
12666395108
1335ac2a833
141c999d05a
151170505e5
hexa7b63f58

2813738840 has 48 divisors (see below), whose sum is σ = 6958783440. Its totient is φ = 1023176000.

The previous prime is 2813738831. The next prime is 2813738881. The reversal of 2813738840 is 488373182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2813738791 and 2813738800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285836 + ... + 295515.

It is an arithmetic number, because the mean of its divisors is an integer number (144974655).

Almost surely, 22813738840 is an apocalyptic number.

2813738840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813738840 is an abundant number, since it is smaller than the sum of its proper divisors (4145044600).

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

2813738840 is a wasteful number, since it uses less digits than its factorization.

2813738840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581384 (or 581369 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2813738840 is about 53044.6871986253. The cubic root of 2813738840 is about 1411.7612650011.

The spelling of 2813738840 in words is "two billion, eight hundred thirteen million, seven hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 581351 1162702 2325404 2906755 4650808 5813510 6394861 11627020 12789722 23254040 25579444 31974305 51158888 63948610 70343471 127897220 140686942 255794440 281373884 351717355 562747768 703434710 1406869420 2813738840