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461120461 = 17157197877
BaseRepresentation
bin11011011111000…
…010001111001101
31012010200100100121
4123133002033031
51421021323321
6113431224541
714266313344
oct3337021715
91163610317
10461120461
1121732169a
1210a518151
13746c1559
1445354b5b
152a738441
hex1b7c23cd

461120461 has 16 divisors (see below), whose sum is σ = 494412336. Its totient is φ = 428553216.

The previous prime is 461120437. The next prime is 461120477. The reversal of 461120461 is 164021164.

It can be written as a sum of positive squares in 8 ways, for example, as 126450025 + 334670436 = 11245^2 + 18294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-461120461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461127461) 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 15 ways as a sum of consecutive naturals, for example, 525355 + ... + 526231.

It is an arithmetic number, because the mean of its divisors is an integer number (30900771).

Almost surely, 2461120461 is an apocalyptic number.

It is an amenable number.

461120461 is a deficient number, since it is larger than the sum of its proper divisors (33291875).

461120461 is a wasteful number, since it uses less digits than its factorization.

461120461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 461120461 is about 21473.7155844069. The cubic root of 461120461 is about 772.5705180997.

The spelling of 461120461 in words is "four hundred sixty-one million, one hundred twenty thousand, four hundred sixty-one".

Divisors: 1 17 157 197 877 2669 3349 14909 30929 137689 172769 525793 2340713 2937073 27124733 461120461