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5528306160 = 24335131737313
BaseRepresentation
bin1010010011000001…
…10100000111110000
3112021021111001101000
411021200310013300
542310221244120
62312322442000
7253665553446
oct51140640760
915237431330
105528306160
112387648273
1210a3503300
136a14449a0
143a6304b96
15225511990
hex1498341f0

5528306160 has 640 divisors, whose sum is σ = 22371068160. Its totient is φ = 1242169344.

The previous prime is 5528306153. The next prime is 5528306219. The reversal of 5528306160 is 616038255.

5528306160 is a `hidden beast` number, since 5 + 5 + 2 + 8 + 30 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 17662164 + ... + 17662476.

It is an arithmetic number, because the mean of its divisors is an integer number (34954794).

Almost surely, 25528306160 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 5528306160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11185534080).

5528306160 is an abundant number, since it is smaller than the sum of its proper divisors (16842762000).

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

5528306160 is a wasteful number, since it uses less digits than its factorization.

5528306160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5528306160 is about 74352.5800493836. The cubic root of 5528306160 is about 1768.1971876596.

The spelling of 5528306160 in words is "five billion, five hundred twenty-eight million, three hundred six thousand, one hundred sixty".