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552670560 = 25335132757
BaseRepresentation
bin100000111100010…
…001010101100000
31102111221120111000
4200330101111200
52112440424220
6130501352000
716460423301
oct4074212540
91374846430
10552670560
11263a71632
12135108600
138a666c00
14535867a8
15337be390
hex20f11560

552670560 has 288 divisors, whose sum is σ = 2097355680. Its totient is φ = 135862272.

The previous prime is 552670543. The next prime is 552670579. The reversal of 552670560 is 65076255.

552670560 is a `hidden beast` number, since 5 + 5 + 26 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729702 + ... + 730458.

It is an arithmetic number, because the mean of its divisors is an integer number (7282485).

Almost surely, 2552670560 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 552670560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048677840).

552670560 is an abundant number, since it is smaller than the sum of its proper divisors (1544685120).

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

552670560 is a wasteful number, since it uses less digits than its factorization.

552670560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 552670560 is about 23508.9463821754. The cubic root of 552670560 is about 820.6452189248.

The spelling of 552670560 in words is "five hundred fifty-two million, six hundred seventy thousand, five hundred sixty".