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464070753 = 32121342509
BaseRepresentation
bin11011101010010…
…010100001100001
31012100020020101200
4123222102201201
51422300231003
6114014351413
714333351646
oct3352224141
91170206350
10464070753
11218a57253
1210b4bb569
13751b53a3
14458c1dcd
152ab1c6a3
hex1ba92861

464070753 has 12 divisors (see below), whose sum is σ = 670892820. Its totient is φ = 309118176.

The previous prime is 464070751. The next prime is 464070757. The reversal of 464070753 is 357070464.

464070753 is a `hidden beast` number, since 4 + 640 + 7 + 0 + 7 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229613409 + 234457344 = 15153^2 + 15312^2 .

It is not a de Polignac number, because 464070753 - 21 = 464070751 is a prime.

It is a super-3 number, since 3×4640707533 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (464070751) 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 11 ways as a sum of consecutive naturals, for example, 10338 + ... + 32171.

It is an arithmetic number, because the mean of its divisors is an integer number (55907735).

Almost surely, 2464070753 is an apocalyptic number.

It is an amenable number.

464070753 is a deficient number, since it is larger than the sum of its proper divisors (206822067).

464070753 is a wasteful number, since it uses less digits than its factorization.

464070753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43728 (or 43725 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 464070753 is about 21542.3014787186. The cubic root of 464070753 is about 774.2146761450.

The spelling of 464070753 in words is "four hundred sixty-four million, seventy thousand, seven hundred fifty-three".

Divisors: 1 3 9 1213 3639 10917 42509 127527 382581 51563417 154690251 464070753