| Base | Representation |
|---|---|
| bin | 100001001111101… |
| … | …001011001010000 |
| 3 | 1102212111121221111 |
| 4 | 201033221121100 |
| 5 | 2120240443330 |
| 6 | 131202303104 |
| 7 | 16551536554 |
| oct | 4117513120 |
| 9 | 1385447844 |
| 10 | 557749840 |
| 11 | 26692078a |
| 12 | 136957a94 |
| 13 | 8b724abb |
| 14 | 54109864 |
| 15 | 33e7432a |
| hex | 213e9650 |
557749840 has 80 divisors (see below), whose sum is σ = 1354087440. Its totient is φ = 213442560.
The previous prime is 557749831. The next prime is 557749849. The reversal of 557749840 is 48947755.
It is an interprime number because it is at equal distance from previous prime (557749831) and next prime (557749849).
It can be written as a sum of positive squares in 8 ways, for example, as 5875776 + 551874064 = 2424^2 + 23492^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×5577498402 = 622169768040051200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (557749849) 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 15 ways as a sum of consecutive naturals, for example, 179016 + ... + 182104.
It is an arithmetic number, because the mean of its divisors is an integer number (16926093).
Almost surely, 2557749840 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 557749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677043720).
557749840 is an abundant number, since it is smaller than the sum of its proper divisors (796337600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
557749840 is a wasteful number, since it uses less digits than its factorization.
557749840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3200 (or 3194 counting only the distinct ones).
The product of its (nonzero) digits is 1411200, while the sum is 49.
The square root of 557749840 is about 23616.7279698099. The cubic root of 557749840 is about 823.1515837772.
The spelling of 557749840 in words is "five hundred fifty-seven million, seven hundred forty-nine thousand, eight hundred forty".
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