Base | Representation |
---|---|
bin | 1010111111110… |
… | …00010000000000 |
3 | 20102120102112100 |
4 | 11133320100000 |
5 | 142103233234 |
6 | 13053030400 |
7 | 2200023603 |
oct | 537702000 |
9 | 212512470 |
10 | 92242944 |
11 | 48083542 |
12 | 26a85400 |
13 | 16158b31 |
14 | c37233a |
15 | 8171399 |
hex | 57f8400 |
92242944 has 66 divisors (see below), whose sum is σ = 266376110. Its totient is φ = 30744576.
The previous prime is 92242921. The next prime is 92242973. The reversal of 92242944 is 44924229.
It can be written as a sum of positive squares in only one way, i.e., 92160000 + 82944 = 9600^2 + 288^2 .
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
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 junction number, because it is equal to n+sod(n) for n = 92242899 and 92242908.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4212 + ... + 14220.
Almost surely, 292242944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 92242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133188055).
92242944 is an abundant number, since it is smaller than the sum of its proper divisors (174133166).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
92242944 is a wasteful number, since it uses less digits than its factorization.
92242944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10035 (or 10014 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 92242944 is about 9604.3190284372. The cubic root of 92242944 is about 451.8327624186.
The spelling of 92242944 in words is "ninety-two million, two hundred forty-two thousand, nine hundred forty-four".
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