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563640552 = 233313918773
BaseRepresentation
bin100001100110000…
…111100011101000
31110021120220111000
4201212013203220
52123242444202
6131532435000
716652602626
oct4146074350
91407526430
10563640552
1126a184542
12138918a60
138ca08127
1454c00516
153473991c
hex219878e8

563640552 has 64 divisors (see below), whose sum is σ = 1577016000. Its totient is φ = 186518592.

The previous prime is 563640547. The next prime is 563640577. The reversal of 563640552 is 255046365.

It is a happy number.

563640552 is a `hidden beast` number, since 5 + 6 + 3 + 640 + 5 + 5 + 2 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 20638 + ... + 39410.

It is an arithmetic number, because the mean of its divisors is an integer number (24640875).

Almost surely, 2563640552 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 563640552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788508000).

563640552 is an abundant number, since it is smaller than the sum of its proper divisors (1013375448).

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

563640552 is a wasteful number, since it uses less digits than its factorization.

563640552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18927 (or 18917 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 563640552 is about 23741.1152223311. The cubic root of 563640552 is about 826.0393644020.

The spelling of 563640552 in words is "five hundred sixty-three million, six hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1668 2502 3336 3753 5004 7506 10008 15012 18773 30024 37546 56319 75092 112638 150184 168957 225276 337914 450552 506871 675828 1013742 1351656 2027484 2609447 4054968 5218894 7828341 10437788 15656682 20875576 23485023 31313364 46970046 62626728 70455069 93940092 140910138 187880184 281820276 563640552