Base | Representation |
---|---|
bin | 1101110000000011… |
… | …10100001100000000 |
3 | 201001111101100212001 |
4 | 12320001310030000 |
5 | 110104401412234 |
6 | 3220315313344 |
7 | 350641540411 |
oct | 67001641400 |
9 | 21044340761 |
10 | 7382450944 |
11 | 3149223730 |
12 | 152044b854 |
13 | 90861188b |
14 | 500673808 |
15 | 2d31b2d14 |
hex | 1b8074300 |
7382450944 has 72 divisors (see below), whose sum is σ = 16774797312. Its totient is φ = 3209733120.
The previous prime is 7382450927. The next prime is 7382450989. The reversal of 7382450944 is 4490542837.
It is a happy number.
It is a super-3 number, since 3×73824509443 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (46).
It is a junction number, because it is equal to n+sod(n) for n = 7382450894 and 7382450903.
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 7 ways as a sum of consecutive naturals, for example, 7777 + ... + 121759.
It is an arithmetic number, because the mean of its divisors is an integer number (232983296).
Almost surely, 27382450944 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 7382450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387398656).
7382450944 is an abundant number, since it is smaller than the sum of its proper divisors (9392346368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7382450944 is a wasteful number, since it uses less digits than its factorization.
7382450944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114033 (or 114019 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 46.
The square root of 7382450944 is about 85921.1903083285. The cubic root of 7382450944 is about 1947.1535013913.
The spelling of 7382450944 in words is "seven billion, three hundred eighty-two million, four hundred fifty thousand, nine hundred forty-four".
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