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3789853056 = 273311131761
BaseRepresentation
bin1110000111100100…
…1001000110000000
3100210010021111001000
43201321021012000
530230200244211
61424021412000
7162626135163
oct34171110600
910703244030
103789853056
111675300770
1289926a000
13485223a02
1427d48dada
15172ab4656
hexe1e49180

3789853056 has 256 divisors, whose sum is σ = 12311481600. Its totient is φ = 1138176000.

The previous prime is 3789853051. The next prime is 3789853063. The reversal of 3789853056 is 6503589873.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3789852993 and 3789853011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3789853051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4979716 + ... + 4980476.

It is an arithmetic number, because the mean of its divisors is an integer number (48091725).

Almost surely, 23789853056 is an apocalyptic number.

3789853056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3789853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155740800).

3789853056 is an abundant number, since it is smaller than the sum of its proper divisors (8521628544).

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

3789853056 is a wasteful number, since it uses less digits than its factorization.

3789853056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3789853056 is about 61561.7824303358. The cubic root of 3789853056 is about 1559.1005465881.

The spelling of 3789853056 in words is "three billion, seven hundred eighty-nine million, eight hundred fifty-three thousand, fifty-six".