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541622016 = 2832133107
BaseRepresentation
bin100000010010000…
…111111100000000
31101202011020201200
4200102013330000
52102123401031
6125424501200
716264465635
oct4022077400
91352136650
10541622016
11258805701
1213147a800
1388299000
1451d0c18c
153283a8e6
hex20487f00

541622016 has 216 divisors, whose sum is σ = 1707516720. Its totient is φ = 165095424.

The previous prime is 541621991. The next prime is 541622033. The reversal of 541622016 is 610226145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5061835 + ... + 5061941.

It is an arithmetic number, because the mean of its divisors is an integer number (7905170).

Almost surely, 2541622016 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 541622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853758360).

541622016 is an abundant number, since it is smaller than the sum of its proper divisors (1165894704).

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

541622016 is a wasteful number, since it uses less digits than its factorization.

541622016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 541622016 is about 23272.7741363165. The cubic root of 541622016 is about 815.1398086523.

The spelling of 541622016 in words is "five hundred forty-one million, six hundred twenty-two thousand, sixteen".