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2056003488 = 25327112329139
BaseRepresentation
bin111101010001100…
…0001111110100000
312022021201210120100
41322203001332200
513202314102423
6540003142400
7101643512160
oct17243017640
95267653510
102056003488
11965618940
12494674a00
13269c55216
141570b65a0
15c0776343
hex7a8c1fa0

2056003488 has 576 divisors, whose sum is σ = 7925299200. Its totient is φ = 489646080.

The previous prime is 2056003447. The next prime is 2056003513. The reversal of 2056003488 is 8843006502.

2056003488 is a `hidden beast` number, since 2 + 0 + 5 + 600 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×20560034882 = 8454300685336332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14791323 + ... + 14791461.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 22056003488 is an apocalyptic number.

2056003488 is a gapful number since it is divisible by the number (28) 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 2056003488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2056003488 is an abundant number, since it is smaller than the sum of its proper divisors (5869295712).

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

2056003488 is a wasteful number, since it uses less digits than its factorization.

2056003488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2056003488 is about 45343.1746572734. The cubic root of 2056003488 is about 1271.5729550197.

The spelling of 2056003488 in words is "two billion, fifty-six million, three thousand, four hundred eighty-eight".