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3528607488 = 2837312683
BaseRepresentation
bin1101001001010010…
…0100011100000000
3100002220200211111020
43102110210130000
524211310414423
61342050145440
7153304445250
oct32224443400
910086624436
103528607488
11155089703a
12825882280
13443074833
142568c7960
15159bad4e3
hexd2524700

3528607488 has 216 divisors, whose sum is σ = 11106474624. Its totient is φ = 974223360.

The previous prime is 3528607441. The next prime is 3528607493. The reversal of 3528607488 is 8847068253.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3528607488.

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 23 ways as a sum of consecutive naturals, for example, 5165995 + ... + 5166677.

It is an arithmetic number, because the mean of its divisors is an integer number (51418864).

Almost surely, 23528607488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553237312).

3528607488 is an abundant number, since it is smaller than the sum of its proper divisors (7577867136).

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

3528607488 is an equidigital number, since it uses as much as digits as its factorization.

3528607488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 3528607488 is about 59402.0831957937. The cubic root of 3528607488 is about 1522.4198942433.

The spelling of 3528607488 in words is "three billion, five hundred twenty-eight million, six hundred seven thousand, four hundred eighty-eight".