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3528282240 = 2735572463
BaseRepresentation
bin1101001001001101…
…0101000010000000
3100002220002022100000
43102103111002000
524211220012430
61342035200000
7153301622100
oct32223250200
910086068300
103528282240
11155069473a
12825746000
13442c8c792
14256841200
15159b46e60
hexd24d5080

3528282240 has 576 divisors, whose sum is σ = 14729420160. Its totient is φ = 804722688.

The previous prime is 3528282229. The next prime is 3528282257. The reversal of 3528282240 is 422828253.

3528282240 is a `hidden beast` number, since 352 + 8 + 282 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3528282195 and 3528282204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620249 + ... + 7620711.

It is an arithmetic number, because the mean of its divisors is an integer number (25571910).

Almost surely, 23528282240 is an apocalyptic number.

3528282240 is a gapful number since it is divisible by the number (30) 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 3528282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364710080).

3528282240 is an abundant number, since it is smaller than the sum of its proper divisors (11201137920).

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

3528282240 is an equidigital number, since it uses as much as digits as its factorization.

3528282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3528282240 is about 59399.3454509391. The cubic root of 3528282240 is about 1522.3731166555.

The spelling of 3528282240 in words is "three billion, five hundred twenty-eight million, two hundred eighty-two thousand, two hundred forty".