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564820452 = 2236725967
BaseRepresentation
bin100001101010100…
…111100111100100
31110100210212000000
4201222213213210
52124043223302
6132014021300
716665615600
oct4152474744
91410725000
10564820452
1126a90aa69
121391a7830
139002c1b1
145502a500
15348be31c
hex21aa79e4

564820452 has 252 divisors, whose sum is σ = 1779316560. Its totient is φ = 156274272.

The previous prime is 564820447. The next prime is 564820457. The reversal of 564820452 is 254028465.

It is a happy number.

564820452 is a `hidden beast` number, since 5 + 648 + 2 + 0 + 4 + 5 + 2 = 666.

564820452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564820447) and next prime (564820457).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (564820457) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8430123 + ... + 8430189.

It is an arithmetic number, because the mean of its divisors is an integer number (7060780).

Almost surely, 2564820452 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 564820452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889658280).

564820452 is an abundant number, since it is smaller than the sum of its proper divisors (1214496108).

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

564820452 is a wasteful number, since it uses less digits than its factorization.

564820452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 564820452 is about 23765.9515273426. The cubic root of 564820452 is about 826.6153606585.

The spelling of 564820452 in words is "five hundred sixty-four million, eight hundred twenty thousand, four hundred fifty-two".