Base | Representation |
---|---|
bin | 11011010011000… |
… | …010000100010100 |
3 | 1011220202111021100 |
4 | 123103002010110 |
5 | 1414220132121 |
6 | 113235550100 |
7 | 14230500162 |
oct | 3323020424 |
9 | 1156674240 |
10 | 457974036 |
11 | 215572743 |
12 | 10945b330 |
13 | 73b5c370 |
14 | 44b76232 |
15 | 2a316026 |
hex | 1b4c2114 |
457974036 has 72 divisors (see below), whose sum is σ = 1286964224. Its totient is φ = 136365120.
The previous prime is 457974029. The next prime is 457974047. The reversal of 457974036 is 630479754.
457974036 is a `hidden beast` number, since 4 + 579 + 7 + 40 + 36 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 457973982 and 457974000.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 1276 + ... + 30291.
Almost surely, 2457974036 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 457974036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643482112).
457974036 is an abundant number, since it is smaller than the sum of its proper divisors (828990188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
457974036 is a wasteful number, since it uses less digits than its factorization.
457974036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31621 (or 31616 counting only the distinct ones).
The product of its (nonzero) digits is 635040, while the sum is 45.
The square root of 457974036 is about 21400.3279414125. The cubic root of 457974036 is about 770.8093115501.
The spelling of 457974036 in words is "four hundred fifty-seven million, nine hundred seventy-four thousand, thirty-six".
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