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4220528256 = 273271721811
BaseRepresentation
bin1111101110010000…
…0010011010000000
3101220010200001100100
43323210002122000
532120423401011
61534444322400
7206405620050
oct37344023200
911803601310
104220528256
11187641838a
12999543400
135235156c9
142c075b560
1519a7d6d56
hexfb902680

4220528256 has 288 divisors, whose sum is σ = 14752651680. Its totient is φ = 1134305280.

The previous prime is 4220528251. The next prime is 4220528261. The reversal of 4220528256 is 6528250224.

It is an interprime number because it is at equal distance from previous prime (4220528251) and next prime (4220528261).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4220528256.

It is not an unprimeable number, because it can be changed into a prime (4220528251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2329591 + ... + 2331401.

It is an arithmetic number, because the mean of its divisors is an integer number (51224485).

Almost surely, 24220528256 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 4220528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376325840).

4220528256 is an abundant number, since it is smaller than the sum of its proper divisors (10532123424).

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

4220528256 is a wasteful number, since it uses less digits than its factorization.

4220528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4220528256 is about 64965.5928626839. The cubic root of 4220528256 is about 1616.0530159387.

The spelling of 4220528256 in words is "four billion, two hundred twenty million, five hundred twenty-eight thousand, two hundred fifty-six".