| Base | Representation |
|---|---|
| bin | 11101110001110… |
| … | …11110010000000 |
| 3 | 122102001110100022 |
| 4 | 32320323302000 |
| 5 | 1002422242302 |
| 6 | 40442113012 |
| 7 | 6122213144 |
| oct | 1670736200 |
| 9 | 572043308 |
| 10 | 249805952 |
| 11 | 119010a00 |
| 12 | 6b7ab768 |
| 13 | 3c9a5296 |
| 14 | 25269224 |
| 15 | 16de68a2 |
| hex | ee3bc80 |
249805952 has 72 divisors (see below), whose sum is σ = 551356155. Its totient is φ = 112654080.
The previous prime is 249805931. The next prime is 249805961. The reversal of 249805952 is 259508942.
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.
249805952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 124902976 + 124902976 = 11176^2 + 11176^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=11176.
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1966913 + ... + 1967039.
Almost surely, 2249805952 is an apocalyptic number.
249805952 is a gapful number since it is divisible by the number (22) 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 249805952
249805952 is an abundant number, since it is smaller than the sum of its proper divisors (301550203).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249805952 is an equidigital number, since it uses as much as digits as its factorization.
249805952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 290 (or 140 counting only the distinct ones).
The product of its (nonzero) digits is 259200, while the sum is 44.
The square root of 249805952 is about 15805.2507730817. The cubic root of 249805952 is about 629.7974926521.
Multiplying 249805952 by its product of nonzero digits (259200), we get a square (64749702758400 = 80467202).
The spelling of 249805952 in words is "two hundred forty-nine million, eight hundred five thousand, nine hundred fifty-two".
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