| Base | Representation |
|---|---|
| bin | 10111111101110… |
| … | …100110000100000 |
| 3 | 1001000120220222100 |
| 4 | 113331310300200 |
| 5 | 1310413122343 |
| 6 | 103522010400 |
| 7 | 12651435126 |
| oct | 2775646040 |
| 9 | 1030526870 |
| 10 | 402082848 |
| 11 | 196a68882 |
| 12 | b27a6a00 |
| 13 | 653c065b |
| 14 | 3b587916 |
| 15 | 254759d3 |
| hex | 17f74c20 |
402082848 has 144 divisors (see below), whose sum is σ = 1189482840. Its totient is φ = 128729088.
The previous prime is 402082843. The next prime is 402082853. The reversal of 402082848 is 848280204.
It is an interprime number because it is at equal distance from previous prime (402082843) and next prime (402082853).
It can be written as a sum of positive squares in 4 ways, for example, as 359936784 + 42146064 = 18972^2 + 6492^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×4020828482 = 323341233311582208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (402082841) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033438 + ... + 1033826.
Almost surely, 2402082848 is an apocalyptic number.
402082848 is a gapful number since it is divisible by the number (48) 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 402082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594741420).
402082848 is an abundant number, since it is smaller than the sum of its proper divisors (787399992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402082848 is a wasteful number, since it uses less digits than its factorization.
402082848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 539 (or 528 counting only the distinct ones).
The product of its (nonzero) digits is 32768, while the sum is 36.
The square root of 402082848 is about 20052.0035906640. The cubic root of 402082848 is about 738.0829659739.
It can be divided in two parts, 4020 and 82848, that added together give a palindrome (86868).
The spelling of 402082848 in words is "four hundred two million, eighty-two thousand, eight hundred forty-eight".
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