| Base | Representation |
|---|---|
| bin | 1101111101001111… |
| … | …00011000010000000 |
| 3 | 201100012102010010000 |
| 4 | 12332213203002000 |
| 5 | 110321202133230 |
| 6 | 3235305040000 |
| 7 | 353453331624 |
| oct | 67647430200 |
| 9 | 21305363100 |
| 10 | 7493005440 |
| 11 | 31a5673988 |
| 12 | 1551486000 |
| 13 | 9254ac43b |
| 14 | 511211184 |
| 15 | 2dcc4eb60 |
| hex | 1be9e3080 |
7493005440 has 160 divisors (see below), whose sum is σ = 26759060460. Its totient is φ = 1998120960.
The previous prime is 7493005439. The next prime is 7493005441. The reversal of 7493005440 is 445003947.
It is an interprime number because it is at equal distance from previous prime (7493005439) and next prime (7493005441).
It can be written as a sum of positive squares in 2 ways, for example, as 7060032576 + 432972864 = 84024^2 + 20808^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×74930054402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 7493005395 and 7493005404.
It is not an unprimeable number, because it can be changed into a prime (7493005441) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20431 + ... + 124110.
Almost surely, 27493005440 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 7493005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379530230).
7493005440 is an abundant number, since it is smaller than the sum of its proper divisors (19266055020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7493005440 is a wasteful number, since it uses less digits than its factorization.
7493005440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144572 (or 144551 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 7493005440 is about 86562.1478476591. The cubic root of 7493005440 is about 1956.8251251736.
The spelling of 7493005440 in words is "seven billion, four hundred ninety-three million, five thousand, four hundred forty".
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