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461377845 = 32510252841
BaseRepresentation
bin11011100000000…
…001000100110101
31012011011102102100
4123200001010311
51421103042340
6113440532313
714301434625
oct3340010465
91164142370
10461377845
11217488005
1210a621099
1374781756
14453c0885
152a789830
hex1b801135

461377845 has 12 divisors (see below), whose sum is σ = 799721676. Its totient is φ = 246068160.

The previous prime is 461377843. The next prime is 461377853. The reversal of 461377845 is 548773164.

It can be written as a sum of positive squares in 2 ways, for example, as 122744241 + 338633604 = 11079^2 + 18402^2 .

It is not a de Polignac number, because 461377845 - 21 = 461377843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10252841 = 461377845 / (4 + 6 + 1 + 3 + 7 + 7 + 8 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 461377845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461377843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5126376 + ... + 5126465.

It is an arithmetic number, because the mean of its divisors is an integer number (66643473).

Almost surely, 2461377845 is an apocalyptic number.

461377845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461377845 is a deficient number, since it is larger than the sum of its proper divisors (338343831).

461377845 is a wasteful number, since it uses less digits than its factorization.

461377845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252852 (or 10252849 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 461377845 is about 21479.7077494085. The cubic root of 461377845 is about 772.7142334782.

The spelling of 461377845 in words is "four hundred sixty-one million, three hundred seventy-seven thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 10252841 30758523 51264205 92275569 153792615 461377845