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563956992 = 283427197
BaseRepresentation
bin100001100111010…
…100110100000000
31110022011222120000
4201213110310000
52123333110432
6131543320000
716655361324
oct4147246400
91408158500
10563956992
1126a380265
12138a50000
138cab9181
1454c83984
153479d57c
hex219d4d00

563956992 has 90 divisors (see below), whose sum is σ = 1681679538. Its totient is φ = 187978752.

The previous prime is 563956973. The next prime is 563957003. The reversal of 563956992 is 299659365.

It can be written as a sum of positive squares in only one way, i.e., 491774976 + 72182016 = 22176^2 + 8496^2 .

It is a super-3 number, since 3×5639569923 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 9 ways as a sum of consecutive naturals, for example, 7138 + ... + 34334.

Almost surely, 2563956992 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 563956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840839769).

563956992 is an abundant number, since it is smaller than the sum of its proper divisors (1117722546).

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

563956992 is an equidigital number, since it uses as much as digits as its factorization.

563956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27225 (or 27202 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The square root of 563956992 is about 23747.7786750677. The cubic root of 563956992 is about 826.1939209385.

The spelling of 563956992 in words is "five hundred sixty-three million, nine hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 27197 54394 81591 108788 163182 217576 244773 326364 435152 489546 652728 734319 870304 979092 1305456 1468638 1740608 1958184 2202957 2610912 2937276 3481216 3916368 4405914 5221824 5874552 6962432 7832736 8811828 10443648 11749104 15665472 17623656 20887296 23498208 31330944 35247312 46996416 62661888 70494624 93992832 140989248 187985664 281978496 563956992