Base | Representation |
---|---|
bin | 1010000100010… |
… | …0001110100000 |
3 | 2221110010101011 |
4 | 2201010032200 |
5 | 41302104441 |
6 | 4104550304 |
7 | 1021612441 |
oct | 241041640 |
9 | 87403334 |
10 | 42222496 |
11 | 21919428 |
12 | 12182394 |
13 | 8994334 |
14 | 58712c8 |
15 | 3a90581 |
hex | 28443a0 |
42222496 has 36 divisors (see below), whose sum is σ = 85956066. Its totient is φ = 20415360.
The previous prime is 42222487. The next prime is 42222533. The reversal of 42222496 is 69422224.
42222496 = T5304 + T5305 + T5306.
It can be written as a sum of positive squares in only one way, i.e., 23386896 + 18835600 = 4836^2 + 4340^2 .
It is a Harshad number since it is a multiple of its sum of digits (31).
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30066 + ... + 31438.
Almost surely, 242222496 is an apocalyptic number.
42222496 is the 5306-th centered triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42222496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42978033).
42222496 is an abundant number, since it is smaller than the sum of its proper divisors (43733570).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42222496 is a wasteful number, since it uses less digits than its factorization.
42222496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1445 (or 1406 counting only the distinct ones).
The product of its digits is 13824, while the sum is 31.
The square root of 42222496 is about 6497.8839632607. The cubic root of 42222496 is about 348.2153949048.
It can be divided in two parts, 422224 and 96, that multiplied together give a palindrome (40533504).
The spelling of 42222496 in words is "forty-two million, two hundred twenty-two thousand, four hundred ninety-six".
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