Base | Representation |
---|---|
bin | 1101001001101000… |
… | …1000111001100000 |
3 | 100010000110000022200 |
4 | 3102122020321200 |
5 | 24212144130202 |
6 | 1342141333200 |
7 | 153323036064 |
oct | 32232107140 |
9 | 10100400280 |
10 | 3530067552 |
11 | 15516a4000 |
12 | 826267200 |
13 | 44346628b |
14 | 256b87aa4 |
15 | 159d9ae1c |
hex | d2688e60 |
3530067552 has 144 divisors (see below), whose sum is σ = 11042937360. Its totient is φ = 1069601280.
The previous prime is 3530067533. The next prime is 3530067559. The reversal of 3530067552 is 2557600353.
3530067552 is a `hidden beast` number, since 3 + 530 + 0 + 6 + 75 + 52 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×35300675522 = 24922753843366545408, which contains 22 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 (3530067559) 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 23 ways as a sum of consecutive naturals, for example, 378724 + ... + 387932.
It is an arithmetic number, because the mean of its divisors is an integer number (76687065).
Almost surely, 23530067552 is an apocalyptic number.
3530067552 is a gapful number since it is divisible by the number (32) 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 3530067552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521468680).
3530067552 is an abundant number, since it is smaller than the sum of its proper divisors (7512869808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3530067552 is a wasteful number, since it uses less digits than its factorization.
3530067552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9258 (or 9225 counting only the distinct ones).
The product of its (nonzero) digits is 94500, while the sum is 36.
The square root of 3530067552 is about 59414.3715947581. The cubic root of 3530067552 is about 1522.6298471281.
The spelling of 3530067552 in words is "three billion, five hundred thirty million, sixty-seven thousand, five hundred fifty-two".
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