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464456141 = 29109314653
BaseRepresentation
bin11011101011110…
…000100111001101
31012100221211001022
4123223300213031
51422400044031
6114030523525
714336545352
oct3353604715
91170854038
10464456141
1121919a856
1210b6665a5
13752bb926
1445982629
152ab9697b
hex1baf09cd

464456141 has 8 divisors (see below), whose sum is σ = 480944280. Its totient is φ = 447999552.

The previous prime is 464456107. The next prime is 464456143. The reversal of 464456141 is 141654464.

It can be written as a sum of positive squares in 4 ways, for example, as 287166916 + 177289225 = 16946^2 + 13315^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-464456141 is a prime.

It is a super-2 number, since 2×4644561412 = 431439013825223762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464456143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24371 + ... + 39023.

It is an arithmetic number, because the mean of its divisors is an integer number (60118035).

Almost surely, 2464456141 is an apocalyptic number.

It is an amenable number.

464456141 is a deficient number, since it is larger than the sum of its proper divisors (16488139).

464456141 is a wasteful number, since it uses less digits than its factorization.

464456141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775.

The product of its digits is 46080, while the sum is 35.

The square root of 464456141 is about 21551.2445348291. The cubic root of 464456141 is about 774.4289326185.

The spelling of 464456141 in words is "four hundred sixty-four million, four hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 29 1093 14653 31697 424937 16015729 464456141