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557456250 = 2355132287
BaseRepresentation
bin100001001110100…
…001101101111010
31102211221201012210
4201032201231322
52120202100000
6131152115550
716546204611
oct4116415572
91384851183
10557456250
1126674014a
12136835bb6
138b651290
1454070878
1533e17350
hex213a1b7a

557456250 has 96 divisors (see below), whose sum is σ = 1501403904. Its totient is φ = 137160000.

The previous prime is 557456239. The next prime is 557456261. The reversal of 557456250 is 52654755.

557456250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (557456239) and next prime (557456261).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 557456199 and 557456208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242607 + ... + 244893.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2557456250 is an apocalyptic number.

557456250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 557456250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

557456250 is an abundant number, since it is smaller than the sum of its proper divisors (943947654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557456250 is a wasteful number, since it uses less digits than its factorization.

557456250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 39.

The square root of 557456250 is about 23610.5114302931. The cubic root of 557456250 is about 823.0071274445.

The spelling of 557456250 in words is "five hundred fifty-seven million, four hundred fifty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 390 625 650 750 975 1250 1625 1875 1950 2287 3125 3250 3750 4574 4875 6250 6861 8125 9375 9750 11435 13722 16250 18750 22870 24375 29731 34305 40625 48750 57175 59462 68610 81250 89193 114350 121875 148655 171525 178386 243750 285875 297310 343050 445965 571750 743275 857625 891930 1429375 1486550 1715250 2229825 2858750 3716375 4288125 4459650 7146875 7432750 8576250 11149125 14293750 18581875 21440625 22298250 37163750 42881250 55745625 92909375 111491250 185818750 278728125 557456250