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522661408 = 2537538329
BaseRepresentation
bin11111001001110…
…010111000100000
31100102110221122221
4133021302320200
52032300131113
6123510240424
715644356123
oct3711627040
91312427587
10522661408
11249035285
12127056114
138438aa09
144d5b43ba
1530d4298d
hex1f272e20

522661408 has 48 divisors (see below), whose sum is σ = 1076869080. Its totient is φ = 249440256.

The previous prime is 522661387. The next prime is 522661409. The reversal of 522661408 is 804166225.

It can be written as a sum of positive squares in 4 ways, for example, as 486996624 + 35664784 = 22068^2 + 5972^2 .

It is not an unprimeable number, because it can be changed into a prime (522661409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58588 + ... + 66916.

Almost surely, 2522661408 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 522661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538434540).

522661408 is an abundant number, since it is smaller than the sum of its proper divisors (554207672).

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

522661408 is a wasteful number, since it uses less digits than its factorization.

522661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 522661408 is about 22861.7892563115. The cubic root of 522661408 is about 805.5147142245.

The spelling of 522661408 in words is "five hundred twenty-two million, six hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1184 1696 1961 3922 7844 8329 15688 16658 31376 33316 62752 66632 133264 266528 308173 441437 616346 882874 1232692 1765748 2465384 3531496 4930768 7062992 9861536 14125984 16333169 32666338 65332676 130665352 261330704 522661408