Base | Representation |
---|---|
bin | 100101010100110… |
… | …0100111000000000 |
3 | 10020021122011120000 |
4 | 1022221210320000 |
5 | 10031104203203 |
6 | 324135320000 |
7 | 43015222434 |
oct | 11251447000 |
9 | 3207564500 |
10 | 1252412928 |
11 | 592a55408 |
12 | 2ab520000 |
13 | 16c615c50 |
14 | bc4949c4 |
15 | 74e404a3 |
hex | 4aa64e00 |
1252412928 has 400 divisors, whose sum is σ = 4242290976. Its totient is φ = 364953600.
The previous prime is 1252412921. The next prime is 1252412929. The reversal of 1252412928 is 8292142521.
1252412928 is a `hidden beast` number, since 1 + 2 + 524 + 129 + 2 + 8 = 666.
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 = 1252412892 and 1252412901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1252412921) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 12400078 + ... + 12400178.
Almost surely, 21252412928 is an apocalyptic number.
1252412928 is a gapful number since it is divisible by the number (18) 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 1252412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121145488).
1252412928 is an abundant number, since it is smaller than the sum of its proper divisors (2989878048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1252412928 is a wasteful number, since it uses less digits than its factorization.
1252412928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167 (or 142 counting only the distinct ones).
The product of its digits is 23040, while the sum is 36.
The square root of 1252412928 is about 35389.4465624994. The cubic root of 1252412928 is about 1077.9100322708.
It can be divided in two parts, 12524 and 12928, that added together give a palindrome (25452).
The spelling of 1252412928 in words is "one billion, two hundred fifty-two million, four hundred twelve thousand, nine hundred twenty-eight".
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