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3738856806 = 23527727773
BaseRepresentation
bin1101111011011010…
…0110110101100110
3100122120022121100000
43132312212311212
530124121404211
61415000402130
7161436521106
oct33666466546
910576277300
103738856806
11164953a503
12884176346
134777aa009
142767b7206
1516d38e656
hexdeda6d66

3738856806 has 48 divisors (see below), whose sum is σ = 8431519824. Its totient is φ = 1241741664.

The previous prime is 3738856799. The next prime is 3738856829. The reversal of 3738856806 is 6086588373.

It is a happy number.

3738856806 is a `hidden beast` number, since 3 + 73 + 8 + 8 + 568 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120736 + ... + 148508.

It is an arithmetic number, because the mean of its divisors is an integer number (175656663).

Almost surely, 23738856806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738856806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215759912).

3738856806 is an abundant number, since it is smaller than the sum of its proper divisors (4692663018).

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

3738856806 is a wasteful number, since it uses less digits than its factorization.

3738856806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28067 (or 28055 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3738856806 is about 61146.1920809465. The cubic root of 3738856806 is about 1552.0758597716.

The spelling of 3738856806 in words is "three billion, seven hundred thirty-eight million, eight hundred fifty-six thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 277 486 554 831 1662 2493 4986 7479 14958 22437 27773 44874 55546 67311 83319 134622 166638 249957 499914 749871 1499742 2249613 4499226 6748839 7693121 13497678 15386242 23079363 46158726 69238089 138476178 207714267 415428534 623142801 1246285602 1869428403 3738856806