Base | Representation |
---|---|
bin | 11100111001000… |
… | …11110001011000 |
3 | 121220001112210220 |
4 | 32130203301120 |
5 | 444021230301 |
6 | 40014440040 |
7 | 6002043003 |
oct | 1634436130 |
9 | 556045726 |
10 | 242367576 |
11 | 1148a0390 |
12 | 69203020 |
13 | 3b29c689 |
14 | 2429053a |
15 | 16427936 |
hex | e723c58 |
242367576 has 64 divisors (see below), whose sum is σ = 669427200. Its totient is φ = 72508800.
The previous prime is 242367571. The next prime is 242367577. The reversal of 242367576 is 675763242.
242367576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2423675763 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242367571) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15046 + ... + 26666.
It is an arithmetic number, because the mean of its divisors is an integer number (10459800).
Almost surely, 2242367576 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 242367576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334713600).
242367576 is an abundant number, since it is smaller than the sum of its proper divisors (427059624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242367576 is a wasteful number, since it uses less digits than its factorization.
242367576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11720 (or 11716 counting only the distinct ones).
The product of its digits is 423360, while the sum is 42.
The square root of 242367576 is about 15568.1590433808. The cubic root of 242367576 is about 623.4833206578.
The spelling of 242367576 in words is "two hundred forty-two million, three hundred sixty-seven thousand, five hundred seventy-six".
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