| Base | Representation |
|---|---|
| bin | 111110101110011… |
| … | …010110111000000 |
| 3 | 2201100012020002100 |
| 4 | 332232122313000 |
| 5 | 4123400343112 |
| 6 | 252231350400 |
| 7 | 35035610250 |
| oct | 7656326700 |
| 9 | 2640166070 |
| 10 | 1052356032 |
| 11 | 4a0033732 |
| 12 | 254522400 |
| 13 | 13a03baa0 |
| 14 | 9da99960 |
| 15 | 625c42dc |
| hex | 3eb9adc0 |
1052356032 has 336 divisors, whose sum is σ = 3934187712. Its totient is φ = 260997120.
The previous prime is 1052356027. The next prime is 1052356091. The reversal of 1052356032 is 2306532501.
1052356032 is a `hidden beast` number, since 1 + 0 + 52 + 3 + 5 + 603 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×10523560322 = 2214906436173570048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1052355987 and 1052356005.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890482 + ... + 891662.
It is an arithmetic number, because the mean of its divisors is an integer number (11708892).
Almost surely, 21052356032 is an apocalyptic number.
1052356032 is a gapful number since it is divisible by the number (12) 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 1052356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967093856).
1052356032 is an abundant number, since it is smaller than the sum of its proper divisors (2881831680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1052356032 is a wasteful number, since it uses less digits than its factorization.
1052356032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1236 (or 1223 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 27.
The square root of 1052356032 is about 32440.0374845653. The cubic root of 1052356032 is about 1017.1559991930.
Adding to 1052356032 its reverse (2306532501), we get a palindrome (3358888533).
The spelling of 1052356032 in words is "one billion, fifty-two million, three hundred fifty-six thousand, thirty-two".
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