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4480542528 = 263711378191
BaseRepresentation
bin1000010110000111…
…11010011101000000
3102120020221010212120
410023003322131000
533134004330103
62020333324240
7216013661130
oct41303723500
912506833776
104480542528
11199a170a10
12a50636680
135653532c7
143070c2ac0
151b3548253
hex10b0fa740

4480542528 has 224 divisors, whose sum is σ = 15181283328. Its totient is φ = 1132185600.

The previous prime is 4480542527. The next prime is 4480542611. The reversal of 4480542528 is 8252450844.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×44805425282 = 40150522690433261568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4480542528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480542527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542913 + ... + 551103.

Almost surely, 24480542528 is an apocalyptic number.

4480542528 is a gapful number since it is divisible by the number (48) 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 4480542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590641664).

4480542528 is an abundant number, since it is smaller than the sum of its proper divisors (10700740800).

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

4480542528 is a wasteful number, since it uses less digits than its factorization.

4480542528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The square root of 4480542528 is about 66936.8547812041. The cubic root of 4480542528 is about 1648.5806622574.

The spelling of 4480542528 in words is "four billion, four hundred eighty million, five hundred forty-two thousand, five hundred twenty-eight".