Base | Representation |
---|---|
bin | 111111101001… |
… | …1011110001010 |
3 | 2022210110211120 |
4 | 1333103132022 |
5 | 32020401132 |
6 | 3151140110 |
7 | 553441404 |
oct | 177233612 |
9 | 68713746 |
10 | 33372042 |
11 | 17923a00 |
12 | b214636 |
13 | 6bb5a92 |
14 | 4609b74 |
15 | 2de302c |
hex | 1fd378a |
33372042 has 48 divisors (see below), whose sum is σ = 75139680. Its totient is φ = 9868320.
The previous prime is 33372041. The next prime is 33372043. The reversal of 33372042 is 24027333.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (33372041) and next prime (33372043).
It is a super-2 number, since 2×333720422 = 2227386374499528, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (33372041) 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, 30684 + ... + 31752.
It is an arithmetic number, because the mean of its divisors is an integer number (1565410).
Almost surely, 233372042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33372042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37569840).
33372042 is an abundant number, since it is smaller than the sum of its proper divisors (41767638).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33372042 is a wasteful number, since it uses less digits than its factorization.
33372042 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 24.
The square root of 33372042 is about 5776.8539881150. The cubic root of 33372042 is about 321.9543227004.
Multiplying 33372042 by its sum of digits (24), we get a palindrome (800929008).
Adding to 33372042 its reverse (24027333), we get a palindrome (57399375).
The spelling of 33372042 in words is "thirty-three million, three hundred seventy-two thousand, forty-two".
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