Base | Representation |
---|---|
bin | 1000101001010001… |
… | …11101100101000000 |
3 | 102222110022220112100 |
4 | 10110220331211000 |
5 | 34001124441400 |
6 | 2044314030400 |
7 | 223004653641 |
oct | 42450754500 |
9 | 12873286470 |
10 | 4641249600 |
11 | 1a71956579 |
12 | a96418400 |
13 | 58c730850 |
14 | 3205976c8 |
15 | 1c26e0100 |
hex | 114a3d940 |
4641249600 has 252 divisors, whose sum is σ = 17765743996. Its totient is φ = 1142415360.
The previous prime is 4641249563. The next prime is 4641249601. The reversal of 4641249600 is 69421464.
4641249600 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 2 + 49 + 600 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 4639244544 = 1416^2 + 68112^2 .
It is a super-3 number, since 3×46412496003 (a number of 30 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4641249601) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174804 + ... + 199596.
Almost surely, 24641249600 is an apocalyptic number.
4641249600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4641249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882871998).
4641249600 is an abundant number, since it is smaller than the sum of its proper divisors (13124494396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4641249600 is a wasteful number, since it uses less digits than its factorization.
4641249600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24834 (or 24816 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 4641249600 is about 68126.7172260634. The cubic root of 4641249600 is about 1668.0598981302.
The spelling of 4641249600 in words is "four billion, six hundred forty-one million, two hundred forty-nine thousand, six hundred".
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