| Base | Representation |
|---|---|
| bin | 11110001101000… |
| … | …00101001100000 |
| 3 | 122122202021012200 |
| 4 | 33012200221200 |
| 5 | 1004330133312 |
| 6 | 41050253200 |
| 7 | 6164364660 |
| oct | 1706405140 |
| 9 | 578667180 |
| 10 | 253364832 |
| 11 | 120021826 |
| 12 | 70a27200 |
| 13 | 40650126 |
| 14 | 259141a0 |
| 15 | 1739b0dc |
| hex | f1a0a60 |
253364832 has 144 divisors (see below), whose sum is σ = 831710880. Its totient is φ = 71663616.
The previous prime is 253364819. The next prime is 253364833. The reversal of 253364832 is 238463352.
It is a happy number.
253364832 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 648 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (253364833) 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 23 ways as a sum of consecutive naturals, for example, 219168 + ... + 220320.
It is an arithmetic number, because the mean of its divisors is an integer number (5775770).
Almost surely, 2253364832 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 253364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415855440).
253364832 is an abundant number, since it is smaller than the sum of its proper divisors (578346048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253364832 is a wasteful number, since it uses less digits than its factorization.
253364832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1285 (or 1274 counting only the distinct ones).
The product of its digits is 103680, while the sum is 36.
The square root of 253364832 is about 15917.4379848014. The cubic root of 253364832 is about 632.7742207444.
It can be divided in two parts, 253 and 364832, that added together give a triangular number (365085 = T854).
The spelling of 253364832 in words is "two hundred fifty-three million, three hundred sixty-four thousand, eight hundred thirty-two".
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