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549141840 = 243251324513
BaseRepresentation
bin100000101110110…
…011110101010000
31102021022021222200
4200232303311100
52111040014330
6130254003200
716415425422
oct4056636520
91367267880
10549141840
11261a81435
12133aa6500
13899cca00
1452d08812
1533323a60
hex20bb3d50

549141840 has 180 divisors, whose sum is σ = 1997417916. Its totient is φ = 135143424.

The previous prime is 549141809. The next prime is 549141847. The reversal of 549141840 is 48141945.

It can be written as a sum of positive squares in 6 ways, for example, as 306530064 + 242611776 = 17508^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 549141795 and 549141804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549141847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119424 + ... + 123936.

Almost surely, 2549141840 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 549141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998708958).

549141840 is an abundant number, since it is smaller than the sum of its proper divisors (1448276076).

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

549141840 is a wasteful number, since it uses less digits than its factorization.

549141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 549141840 is about 23433.7756240858. The cubic root of 549141840 is about 818.8949222712.

The spelling of 549141840 in words is "five hundred forty-nine million, one hundred forty-one thousand, eight hundred forty".