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465055146 = 23237798839
BaseRepresentation
bin11011101110000…
…010110110101010
31012102002020201200
4123232002312222
51423023231041
6114051425030
714344621623
oct3356026652
91172066650
10465055146
112195698a6
1210b8b5176
137546b47a
1445a9aa4a
152ac641b6
hex1bb82daa

465055146 has 48 divisors (see below), whose sum is σ = 1048070400. Its totient is φ = 148902624.

The previous prime is 465055133. The next prime is 465055159. The reversal of 465055146 is 641550564.

465055146 is a `hidden beast` number, since 4 + 6 + 505 + 5 + 146 = 666.

It is an interprime number because it is at equal distance from previous prime (465055133) and next prime (465055159).

It is a self number, because there is not a number n which added to its sum of digits gives 465055146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48195 + ... + 57033.

It is an arithmetic number, because the mean of its divisors is an integer number (21834800).

Almost surely, 2465055146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465055146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524035200).

465055146 is an abundant number, since it is smaller than the sum of its proper divisors (583015254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465055146 is a wasteful number, since it uses less digits than its factorization.

465055146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 465055146 is about 21565.1372821969. The cubic root of 465055146 is about 774.7617143253.

The spelling of 465055146 in words is "four hundred sixty-five million, fifty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 79 111 158 222 237 333 474 666 711 1422 2923 5846 8769 8839 17538 17678 26307 26517 52614 53034 79551 159102 327043 654086 698281 981129 1396562 1962258 2094843 2943387 4189686 5886774 6284529 12569058 25836397 51672794 77509191 155018382 232527573 465055146