Base | Representation |
---|---|
bin | 1101111000010… |
… | …0111111001000 |
3 | 11001112200212200 |
4 | 3132010333020 |
5 | 104400411032 |
6 | 5435440200 |
7 | 1304555043 |
oct | 336047710 |
9 | 131480780 |
10 | 58216392 |
11 | 2a952923 |
12 | 175b6060 |
13 | c0a4190 |
14 | 7a35c5a |
15 | 519e47c |
hex | 3784fc8 |
58216392 has 144 divisors (see below), whose sum is σ = 178744020. Its totient is φ = 17003520.
The previous prime is 58216391. The next prime is 58216423. The reversal of 58216392 is 29361285.
58216392 is a `hidden beast` number, since 58 + 216 + 392 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 3663396 + 54552996 = 1914^2 + 7386^2 .
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).
Its product of digits (25920) is a multiple of the sum of its prime divisors (96).
It is not an unprimeable number, because it can be changed into a prime (58216391) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1419892 + ... + 1419932.
Almost surely, 258216392 is an apocalyptic number.
58216392 is a gapful number since it is divisible by the number (52) 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 58216392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89372010).
58216392 is an abundant number, since it is smaller than the sum of its proper divisors (120527628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58216392 is a wasteful number, since it uses less digits than its factorization.
58216392 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 96 counting only the distinct ones).
The product of its digits is 25920, while the sum is 36.
The square root of 58216392 is about 7629.9667102812. The cubic root of 58216392 is about 387.5684612997.
The spelling of 58216392 in words is "fifty-eight million, two hundred sixteen thousand, three hundred ninety-two".
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