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56466465 = 3511253587
BaseRepresentation
bin1101011101100…
…1110000100001
310221020210102120
43113121300201
5103423411330
65334134453
71253646156
oct327316041
9127223376
1056466465
1129968100
1216ab1429
13b910813
1476dc22d
154e55c10
hex35d9c21

56466465 has 48 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 26815360.

The previous prime is 56466437. The next prime is 56466467.

It is a happy number.

56466465 is nontrivially palindromic in base 10.

56466465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56466465 - 25 = 56466433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56466467) 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 47 ways as a sum of consecutive naturals, for example, 95902 + ... + 96488.

It is an arithmetic number, because the mean of its divisors is an integer number (2111508).

Almost surely, 256466465 is an apocalyptic number.

56466465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56466465 is a deficient number, since it is larger than the sum of its proper divisors (44885919).

56466465 is a wasteful number, since it uses less digits than its factorization.

56466465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 56466465 is about 7514.4171430657. The cubic root of 56466465 is about 383.6455809156.

The spelling of 56466465 in words is "fifty-six million, four hundred sixty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 53 55 121 159 165 265 363 583 587 605 795 1749 1761 1815 2915 2935 6413 6457 8745 8805 19239 19371 31111 32065 32285 71027 93333 96195 96855 155555 213081 342221 355135 466665 1026663 1065405 1711105 3764431 5133315 11293293 18822155 56466465