| Base | Representation |
|---|---|
| bin | 1010000101001… |
| … | …1110110000000 |
| 3 | 2221120101010100 |
| 4 | 2201103312000 |
| 5 | 41311131324 |
| 6 | 4110202400 |
| 7 | 1022300103 |
| oct | 241236600 |
| 9 | 87511110 |
| 10 | 42286464 |
| 11 | 219624a0 |
| 12 | 121b3400 |
| 13 | 89b749c |
| 14 | 588a73a |
| 15 | 3aa44c9 |
| hex | 2853d80 |
42286464 has 192 divisors, whose sum is σ = 137479680. Its totient is φ = 12364800.
The previous prime is 42286459. The next prime is 42286469. The reversal of 42286464 is 46468224.
It is a happy number.
42286464 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 646 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (42286459) and next prime (42286469).
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 9.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42286469) 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, 595549 + ... + 595619.
It is an arithmetic number, because the mean of its divisors is an integer number (716040).
Almost surely, 242286464 is an apocalyptic number.
42286464 is a gapful number since it is divisible by the number (44) 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 42286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).
42286464 is an abundant number, since it is smaller than the sum of its proper divisors (95193216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42286464 is a wasteful number, since it uses less digits than its factorization.
42286464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149 (or 134 counting only the distinct ones).
The product of its digits is 73728, while the sum is 36.
The square root of 42286464 is about 6502.8043181384. The cubic root of 42286464 is about 348.3911574729.
The spelling of 42286464 in words is "forty-two million, two hundred eighty-six thousand, four hundred sixty-four".
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