Base | Representation |
---|---|
bin | 1010111111111… |
… | …01000010000000 |
3 | 20102121102101200 |
4 | 11133331002000 |
5 | 142104400103 |
6 | 13053301200 |
7 | 2200134651 |
oct | 537750200 |
9 | 212542350 |
10 | 92262528 |
11 | 48097226 |
12 | 26a94800 |
13 | 16164a17 |
14 | c379528 |
15 | 81770a3 |
hex | 57fd080 |
92262528 has 72 divisors (see below), whose sum is σ = 266436495. Its totient is φ = 30645504.
The previous prime is 92262523. The next prime is 92262529. The reversal of 92262528 is 82526229.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
92262528 is a `hidden beast` number, since 9 + 2 + 2 + 625 + 28 = 666.
It can be written as a sum of positive squares in only one way, i.e., 46131264 + 46131264 = 6792^2 + 6792^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=6792.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (34560) is a multiple of the sum of its prime divisors (288).
It is a junction number, because it is equal to n+sod(n) for n = 92262492 and 92262501.
It is not an unprimeable number, because it can be changed into a prime (92262523) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 325875 + ... + 326157.
Almost surely, 292262528 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 92262528
92262528 is an abundant number, since it is smaller than the sum of its proper divisors (174173967).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
92262528 is an equidigital number, since it uses as much as digits as its factorization.
92262528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 586 (or 288 counting only the distinct ones).
The product of its digits is 34560, while the sum is 36.
The square root of 92262528 is about 9605.3385156381. The cubic root of 92262528 is about 451.8647361982.
The spelling of 92262528 in words is "ninety-two million, two hundred sixty-two thousand, five hundred twenty-eight".
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