Base | Representation |
---|---|
bin | 111110011100000… |
… | …011100110000000 |
3 | 2201000010122200012 |
4 | 332130003212000 |
5 | 4121132322034 |
6 | 251540244052 |
7 | 34646650505 |
oct | 7634034600 |
9 | 2630118605 |
10 | 1047542144 |
11 | 498345a10 |
12 | 2529a0628 |
13 | 13904492c |
14 | 9d1a54ac |
15 | 61e72cce |
hex | 3e703980 |
1047542144 has 64 divisors (see below), whose sum is σ = 2283066000. Its totient is φ = 474808320.
The previous prime is 1047542077. The next prime is 1047542179. The reversal of 1047542144 is 4412457401.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×10475421442 = 2194689086912233472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 1047542144.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 631364 + ... + 633020.
Almost surely, 21047542144 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 1047542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141533000).
1047542144 is an abundant number, since it is smaller than the sum of its proper divisors (1235523856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1047542144 is a wasteful number, since it uses less digits than its factorization.
1047542144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2131 (or 2119 counting only the distinct ones).
The product of its (nonzero) digits is 17920, while the sum is 32.
The square root of 1047542144 is about 32365.7557304012. The cubic root of 1047542144 is about 1015.6026718424.
Adding to 1047542144 its reverse (4412457401), we get a palindrome (5459999545).
The spelling of 1047542144 in words is "one billion, forty-seven million, five hundred forty-two thousand, one hundred forty-four".
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