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560452608 = 2103429233
BaseRepresentation
bin100001011001111…
…101010000000000
31110001120221110000
4201121331100000
52121433440413
6131340240000
716613524422
oct4131752000
91401527400
10560452608
112683a7381
12137840000
138c160081
1454610812
153430a073
hex2167d400

560452608 has 220 divisors, whose sum is σ = 1738762740. Its totient is φ = 179601408.

The previous prime is 560452601. The next prime is 560452643. The reversal of 560452608 is 806254065.

560452608 is a `hidden beast` number, since 5 + 6 + 0 + 45 + 2 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 361304064 = 14112^2 + 19008^2 .

It is a super-4 number, since 4×5604526084 (a number of 36 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560452601) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2405260 + ... + 2405492.

It is an arithmetic number, because the mean of its divisors is an integer number (7903467).

Almost surely, 2560452608 is an apocalyptic number.

560452608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560452608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869381370).

560452608 is an abundant number, since it is smaller than the sum of its proper divisors (1178310132).

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

560452608 is a wasteful number, since it uses less digits than its factorization.

560452608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 560452608 is about 23673.8802903115. The cubic root of 560452608 is about 824.4790628648.

It can be divided in two parts, 56045 and 2608, that added together give a triangular number (58653 = T342).

The spelling of 560452608 in words is "five hundred sixty million, four hundred fifty-two thousand, six hundred eight".