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552412080 = 2432511193671
BaseRepresentation
bin100000111011010…
…010001110110000
31102111110102220200
4200323102032300
52112404141310
6130452035200
716455265563
oct4073221660
91374412820
10552412080
11263905410
12135002b00
138a5a636c
145351a4da
153376c9c0
hex20ed23b0

552412080 has 240 divisors, whose sum is σ = 2130935040. Its totient is φ = 126835200.

The previous prime is 552412073. The next prime is 552412111. The reversal of 552412080 is 80214255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5524120802 = 610318212259852800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 148645 + ... + 152315.

It is an arithmetic number, because the mean of its divisors is an integer number (8878896).

Almost surely, 2552412080 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 552412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065467520).

552412080 is an abundant number, since it is smaller than the sum of its proper divisors (1578522960).

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

552412080 is a wasteful number, since it uses less digits than its factorization.

552412080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3711 counting only the distinct ones).

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

The square root of 552412080 is about 23503.4482576493. The cubic root of 552412080 is about 820.5172623751.

The spelling of 552412080 in words is "five hundred fifty-two million, four hundred twelve thousand, eighty".