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563360076 = 223317378293
BaseRepresentation
bin100001100101000…
…011000101001100
31110021001122202000
4201211003011030
52123210010301
6131522432300
716650324126
oct4145030514
91407048660
10563360076
1126a002844
12138802690
138c93a576
1454b6a216
15346d1786
hex2194314c

563360076 has 96 divisors (see below), whose sum is σ = 1588466880. Its totient is φ = 171942912.

The previous prime is 563360041. The next prime is 563360153. The reversal of 563360076 is 670063365.

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

It is a self number, because there is not a number n which added to its sum of digits gives 563360076.

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 31 ways as a sum of consecutive naturals, for example, 63786 + ... + 72078.

It is an arithmetic number, because the mean of its divisors is an integer number (16546530).

Almost surely, 2563360076 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 563360076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794233440).

563360076 is an abundant number, since it is smaller than the sum of its proper divisors (1025106804).

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

563360076 is a wasteful number, since it uses less digits than its factorization.

563360076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 563360076 is about 23735.2075196321. The cubic root of 563360076 is about 825.9023251391.

The spelling of 563360076 in words is "five hundred sixty-three million, three hundred sixty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 102 108 111 148 153 204 222 306 333 444 459 612 629 666 918 999 1258 1332 1836 1887 1998 2516 3774 3996 5661 7548 8293 11322 16586 16983 22644 24879 33172 33966 49758 67932 74637 99516 140981 149274 223911 281962 298548 306841 422943 447822 563924 613682 845886 895644 920523 1227364 1268829 1691772 1841046 2537658 2761569 3682092 3806487 5075316 5216297 5523138 7612974 8284707 10432594 11046276 15225948 15648891 16569414 20865188 31297782 33138828 46946673 62595564 93893346 140840019 187786692 281680038 563360076