| Base | Representation |
|---|---|
| bin | 10111111111001… |
| … | …101000000000000 |
| 3 | 1001001021021210000 |
| 4 | 113333031000000 |
| 5 | 1311011204123 |
| 6 | 103533440000 |
| 7 | 12654501651 |
| oct | 2777150000 |
| 9 | 1031237700 |
| 10 | 402444288 |
| 11 | 197195394 |
| 12 | b2940000 |
| 13 | 654b901c |
| 14 | 3b63d528 |
| 15 | 254e7b43 |
| hex | 17fcd000 |
402444288 has 130 divisors (see below), whose sum is σ = 1203208754. Its totient is φ = 134037504.
The previous prime is 402444283. The next prime is 402444293. The reversal of 402444288 is 882444204.
It is an interprime number because it is at equal distance from previous prime (402444283) and next prime (402444293).
It can be written as a sum of positive squares in only one way, i.e., 241864704 + 160579584 = 15552^2 + 12672^2 .
It is a super-2 number, since 2×4024442882 = 323922809887653888, which contains 22 as substring.
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 (402444283) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331170 + ... + 332382.
Almost surely, 2402444288 is an apocalyptic number.
402444288 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 402444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601604377).
402444288 is an abundant number, since it is smaller than the sum of its proper divisors (800764466).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402444288 is an equidigital number, since it uses as much as digits as its factorization.
402444288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1249 (or 1218 counting only the distinct ones).
The product of its (nonzero) digits is 65536, while the sum is 36.
The square root of 402444288 is about 20061.0141318927. The cubic root of 402444288 is about 738.3040587269.
The spelling of 402444288 in words is "four hundred two million, four hundred forty-four thousand, two hundred eighty-eight".
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