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2528856288 = 2535726637
BaseRepresentation
bin1001011010111011…
…0100100011100000
320112020111012200000
42112232310203200
520134341400123
61054534100000
7116444631600
oct22656644340
96466435600
102528856288
111088523182
125a6aaa600
13313bc398a
1419dc02c00
15ec02ab43
hex96bb48e0

2528856288 has 216 divisors, whose sum is σ = 8676689112. Its totient is φ = 722421504.

The previous prime is 2528856287. The next prime is 2528856299. The reversal of 2528856288 is 8826588252.

2528856288 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 8 + 5 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×25288562882 = 12790228250714277888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528856287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377706 + ... + 384342.

It is an arithmetic number, because the mean of its divisors is an integer number (40169857).

Almost surely, 22528856288 is an apocalyptic number.

2528856288 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 2528856288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338344556).

2528856288 is an abundant number, since it is smaller than the sum of its proper divisors (6147832824).

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

2528856288 is an equidigital number, since it uses as much as digits as its factorization.

2528856288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6649 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The square root of 2528856288 is about 50287.7349658940. The cubic root of 2528856288 is about 1362.4107127529.

The spelling of 2528856288 in words is "two billion, five hundred twenty-eight million, eight hundred fifty-six thousand, two hundred eighty-eight".