Base | Representation |
---|---|
bin | 1010100101101… |
… | …10001111010000 |
3 | 20012010212111200 |
4 | 11102312033100 |
5 | 140214424312 |
6 | 12451511200 |
7 | 2126005233 |
oct | 522661720 |
9 | 205125450 |
10 | 88826832 |
11 | 4615aa06 |
12 | 258b8500 |
13 | 15530c73 |
14 | bb2341a |
15 | 7be90dc |
hex | 54b63d0 |
88826832 has 60 divisors (see below), whose sum is σ = 250238820. Its totient is φ = 29412864.
The previous prime is 88826831. The next prime is 88826833. The reversal of 88826832 is 23862888.
It is an interprime number because it is at equal distance from previous prime (88826831) and next prime (88826833).
It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 69956496 = 4344^2 + 8364^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (88826831) 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 11 ways as a sum of consecutive naturals, for example, 20644 + ... + 24572.
It is an arithmetic number, because the mean of its divisors is an integer number (4170647).
Almost surely, 288826832 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 88826832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125119410).
88826832 is an abundant number, since it is smaller than the sum of its proper divisors (161411988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88826832 is a wasteful number, since it uses less digits than its factorization.
88826832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4100 (or 4091 counting only the distinct ones).
The product of its digits is 294912, while the sum is 45.
The square root of 88826832 is about 9424.7987776928. The cubic root of 88826832 is about 446.1847518942.
The spelling of 88826832 in words is "eighty-eight million, eight hundred twenty-six thousand, eight hundred thirty-two".
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