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465320241 = 33191516007
BaseRepresentation
bin11011101111000…
…011100100110001
31012102120201101000
4123233003210301
51423110221431
6114101232213
714350104531
oct3357034461
91172521330
10465320241
1121972aa91
1210ba02669
1375532029
1445b294c1
152acb79e6
hex1bbc3931

465320241 has 32 divisors (see below), whose sum is σ = 730572800. Its totient is φ = 291891600.

The previous prime is 465320227. The next prime is 465320267. The reversal of 465320241 is 142023564.

465320241 is a `hidden beast` number, since 4 + 653 + 2 + 0 + 2 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-465320241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (465320041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74460 + ... + 80466.

It is an arithmetic number, because the mean of its divisors is an integer number (22830400).

Almost surely, 2465320241 is an apocalyptic number.

It is an amenable number.

465320241 is a deficient number, since it is larger than the sum of its proper divisors (265252559).

465320241 is a wasteful number, since it uses less digits than its factorization.

465320241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 465320241 is about 21571.2827852217. The cubic root of 465320241 is about 774.9088986220.

The spelling of 465320241 in words is "four hundred sixty-five million, three hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 151 171 453 513 1359 2869 4077 6007 8607 18021 25821 54063 77463 114133 162189 342399 907057 1027197 2721171 3081591 8163513 17234083 24490539 51702249 155106747 465320241