Search a number
3528914688 = 28341321953
BaseRepresentation
bin1101001001010110…
…1111011100000000
3100002221021102220000
43102111233130000
524211400232223
61342100520000
7153310165005
oct32225573400
910087242800
103528914688
111550a86922
128259b0000
13443151600
142569678ac
15159c1e543
hexd256f700

3528914688 has 540 divisors, whose sum is σ = 12220278840. Its totient is φ = 1009262592.

The previous prime is 3528914617. The next prime is 3528914693. The reversal of 3528914688 is 8864198253.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (3317760) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66583270 + ... + 66583322.

It is an arithmetic number, because the mean of its divisors is an integer number (22630146).

Almost surely, 23528914688 is an apocalyptic number.

3528914688 is a gapful number since it is divisible by the number (38) 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 3528914688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110139420).

3528914688 is an abundant number, since it is smaller than the sum of its proper divisors (8691364152).

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

3528914688 is a wasteful number, since it uses less digits than its factorization.

3528914688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3528914688 is about 59404.6689074184. The cubic root of 3528914688 is about 1522.4640735049.

The spelling of 3528914688 in words is "three billion, five hundred twenty-eight million, nine hundred fourteen thousand, six hundred eighty-eight".