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564648942 = 2311132233171
BaseRepresentation
bin100001101001111…
…101101111101110
31110100111010201210
4201221331233232
52124022231232
6132010215250
716664302554
oct4151755756
91410433653
10564648942
1126a803120
12139124526
138cc9c100
1454dc3bd4
15348885cc
hex21a7dbee

564648942 has 192 divisors, whose sum is σ = 1457160192. Its totient is φ = 144144000.

The previous prime is 564648923. The next prime is 564648943. The reversal of 564648942 is 249846465.

It is a junction number, because it is equal to n+sod(n) for n = 564648891 and 564648900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564648943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7952767 + ... + 7952837.

It is an arithmetic number, because the mean of its divisors is an integer number (7589376).

Almost surely, 2564648942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564648942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728580096).

564648942 is an abundant number, since it is smaller than the sum of its proper divisors (892511250).

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

564648942 is a wasteful number, since it uses less digits than its factorization.

564648942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 564648942 is about 23762.3429400386. The cubic root of 564648942 is about 826.5316838296.

The spelling of 564648942 in words is "five hundred sixty-four million, six hundred forty-eight thousand, nine hundred forty-two".