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522145008 = 243371121427
BaseRepresentation
bin11111000111110…
…100110011110000
31100101111201022000
4133013310303300
52032132120013
6123451214000
715640105440
oct3707646360
91311451260
10522145008
11248812300
12126a47300
1384239958
144d4bc120
1530c8e973
hex1f1f4cf0

522145008 has 240 divisors, whose sum is σ = 1884046080. Its totient is φ = 135527040.

The previous prime is 522144991. The next prime is 522145027. The reversal of 522145008 is 800541225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365191 + ... + 366617.

It is an arithmetic number, because the mean of its divisors is an integer number (7850192).

Almost surely, 2522145008 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 522145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942023040).

522145008 is an abundant number, since it is smaller than the sum of its proper divisors (1361901072).

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

522145008 is a wasteful number, since it uses less digits than its factorization.

522145008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 522145008 is about 22850.4925111036. The cubic root of 522145008 is about 805.2493385516.

It can be divided in two parts, 522 and 145008, that added together give a triangular number (145530 = T539).

The spelling of 522145008 in words is "five hundred twenty-two million, one hundred forty-five thousand, eight".