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56461104 = 2433718671
BaseRepresentation
bin1101011101100…
…0011100110000
310221020112002000
43113120130300
5103423223404
65334054000
71253624430
oct327303460
9127215060
1056461104
1129964077
1216aaa300
13b90b24b
1476da2c0
154e54339
hex35d8730

56461104 has 80 divisors (see below), whose sum is σ = 185226240. Its totient is φ = 16130880.

The previous prime is 56461091. The next prime is 56461109. The reversal of 56461104 is 40116465.

56461104 is a `hidden beast` number, since 5 + 646 + 1 + 10 + 4 = 666.

56461104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56461109) by changing a digit.

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, 6312 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (2315328).

Almost surely, 256461104 is an apocalyptic number.

56461104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56461104 is an abundant number, since it is smaller than the sum of its proper divisors (128765136).

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

56461104 is a wasteful number, since it uses less digits than its factorization.

56461104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18695 (or 18683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56461104 is about 7514.0604203054. The cubic root of 56461104 is about 383.6334392604.

Adding to 56461104 its reverse (40116465), we get a palindrome (96577569).

It can be divided in two parts, 56461 and 104, that added together give a palindrome (56565).

The spelling of 56461104 in words is "fifty-six million, four hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 18671 37342 56013 74684 112026 130697 149368 168039 224052 261394 298736 336078 392091 448104 504117 522788 672156 784182 896208 1008234 1045576 1176273 1344312 1568364 2016468 2091152 2352546 2688624 3136728 3528819 4032936 4705092 6273456 7057638 8065872 9410184 14115276 18820368 28230552 56461104