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563624064 = 2732489257
BaseRepresentation
bin100001100110000…
…011100010000000
31110021120001212100
4201212003202000
52123241432224
6131532230400
716652503563
oct4146034200
91407501770
10563624064
1126a173113
1213890b400
138ca00783
1454bd84da
1534734ac9
hex21983880

563624064 has 48 divisors (see below), whose sum is σ = 1621890270. Its totient is φ = 187874304.

The previous prime is 563624059. The next prime is 563624081. The reversal of 563624064 is 460426365.

It can be written as a sum of positive squares in only one way, i.e., 547560000 + 16064064 = 23400^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243477 + ... + 245780.

Almost surely, 2563624064 is an apocalyptic number.

It is an amenable number.

563624064 is an abundant number, since it is smaller than the sum of its proper divisors (1058266206).

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

563624064 is a wasteful number, since it uses less digits than its factorization.

563624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489277 (or 489262 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 563624064 is about 23740.7679740989. The cubic root of 563624064 is about 826.0313097001.

The spelling of 563624064 in words is "five hundred sixty-three million, six hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 489257 978514 1467771 1957028 2935542 3914056 4403313 5871084 7828112 8806626 11742168 15656224 17613252 23484336 31312448 35226504 46968672 62624896 70453008 93937344 140906016 187874688 281812032 563624064