Base | Representation |
---|---|
bin | 101001001100000… |
… | …0111110001000000 |
3 | 10120022120200000100 |
4 | 1102120013301000 |
5 | 10312301224401 |
6 | 345050122400 |
7 | 46151162541 |
oct | 12230076100 |
9 | 3508520010 |
10 | 1382054976 |
11 | 64a1523a5 |
12 | 326a20400 |
13 | 190437813 |
14 | d17a04c8 |
15 | 814ecb86 |
hex | 52607c40 |
1382054976 has 63 divisors (see below), whose sum is σ = 3963970101. Its totient is φ = 460387584.
The previous prime is 1382054963. The next prime is 1382054983. The reversal of 1382054976 is 6794502831.
The square root of 1382054976 is 37176.
It is a perfect power (a square), and thus also a powerful number.
1382054976 is a `hidden beast` number, since 1 + 38 + 2 + 0 + 549 + 76 = 666.
1382054976 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 467597376 + 914457600 = 21624^2 + 30240^2 .
1382054976 is strictly pandigital in base 10.
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 8 ways as a sum of consecutive naturals, for example, 891450 + ... + 892998.
It is a 1-persistent number, because it is pandigital, but 2⋅1382054976 = 2764109952 is not.
Almost surely, 21382054976 is an apocalyptic number.
1382054976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
1382054976 is the 37176-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1382054976
1382054976 is an abundant number, since it is smaller than the sum of its proper divisors (2581915125).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1382054976 is an frugal number, since it uses more digits than its factorization.
1382054976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3116 (or 1554 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The cubic root of 1382054976 is about 1113.8886352987. Note that the first 3 decimals are identical.
The spelling of 1382054976 in words is "one billion, three hundred eighty-two million, fifty-four thousand, nine hundred seventy-six".
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