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2538706808 = 23113317691
BaseRepresentation
bin1001011101010001…
…1001011101111000
320112221000200001002
42113110121131320
520144402104213
61055525144132
7116624436401
oct22724313570
96487020032
102538706808
111093041000
125aa25b048
13315c624a1
141a12489a8
15ecd24658
hex97519778

2538706808 has 64 divisors (see below), whose sum is σ = 5405322240. Its totient is φ = 1116588000.

The previous prime is 2538706787. The next prime is 2538706829. The reversal of 2538706808 is 8086078352.

It is an interprime number because it is at equal distance from previous prime (2538706787) and next prime (2538706829).

It is a congruent number.

It is an unprimeable number.

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, 326243 + ... + 333933.

It is an arithmetic number, because the mean of its divisors is an integer number (84458160).

Almost surely, 22538706808 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 2538706808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702661120).

2538706808 is an abundant number, since it is smaller than the sum of its proper divisors (2866615432).

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

2538706808 is a wasteful number, since it uses less digits than its factorization.

2538706808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 2538706808 is about 50385.5813502236. The cubic root of 2538706808 is about 1364.1773962824.

The spelling of 2538706808 in words is "two billion, five hundred thirty-eight million, seven hundred six thousand, eight hundred eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1331 1364 2662 2728 3751 5324 7502 7691 10648 15004 15382 30008 30764 41261 61528 82522 84601 165044 169202 238421 330088 338404 476842 676808 930611 953684 1861222 1907368 2622631 3722444 5245262 7444888 10236721 10490524 20473442 20981048 28848941 40946884 57697882 81893768 115395764 230791528 317338351 634676702 1269353404 2538706808