Base | Representation |
---|---|
bin | 11011101111110… |
… | …111100011010000 |
3 | 1012102222112102000 |
4 | 123233313203100 |
5 | 1423134030021 |
6 | 114105554000 |
7 | 14351652315 |
oct | 3357674320 |
9 | 1172875360 |
10 | 465533136 |
11 | 219865a32 |
12 | 10baa5900 |
13 | 755a7bc3 |
14 | 45b82d0c |
15 | 2ad0ab26 |
hex | 1bbf78d0 |
465533136 has 160 divisors (see below), whose sum is σ = 1440384000. Its totient is φ = 143482752.
The previous prime is 465533119. The next prime is 465533137. The reversal of 465533136 is 631335564.
465533136 is a `hidden beast` number, since 46 + 553 + 31 + 36 = 666.
It is a super-2 number, since 2×4655331362 = 433442201427988992, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 465533136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (465533137) 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, 352285 + ... + 353603.
It is an arithmetic number, because the mean of its divisors is an integer number (9002400).
Almost surely, 2465533136 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 465533136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192000).
465533136 is an abundant number, since it is smaller than the sum of its proper divisors (974850864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
465533136 is a wasteful number, since it uses less digits than its factorization.
465533136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).
The product of its digits is 97200, while the sum is 36.
The square root of 465533136 is about 21576.2169065849. The cubic root of 465533136 is about 775.0270603108.
The spelling of 465533136 in words is "four hundred sixty-five million, five hundred thirty-three thousand, one hundred thirty-six".
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