Search a number
-
+
464261329 = 729474721
BaseRepresentation
bin11011101011000…
…001000011010001
31012100120220211001
4123223001003101
51422322330304
6114022422001
714335104400
oct3353010321
91170526731
10464261329
11219077454
1210b591901
137525105c
1445931637
152ab58da4
hex1bac10d1

464261329 has 6 divisors (see below), whose sum is σ = 540059154. Its totient is φ = 397938240.

The previous prime is 464261323. The next prime is 464261351. The reversal of 464261329 is 923162464.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 441000000 + 23261329 = 21000^2 + 4823^2 .

It is not a de Polignac number, because 464261329 - 29 = 464260817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464261323) 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 5 ways as a sum of consecutive naturals, for example, 4737312 + ... + 4737409.

It is an arithmetic number, because the mean of its divisors is an integer number (90009859).

Almost surely, 2464261329 is an apocalyptic number.

464261329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

464261329 is a deficient number, since it is larger than the sum of its proper divisors (75797825).

464261329 is an equidigital number, since it uses as much as digits as its factorization.

464261329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474735 (or 9474728 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 464261329 is about 21546.7243218082. The cubic root of 464261329 is about 774.3206416991.

The spelling of 464261329 in words is "four hundred sixty-four million, two hundred sixty-one thousand, three hundred twenty-nine".

Divisors: 1 7 49 9474721 66323047 464261329