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557714300 = 2252111343907
BaseRepresentation
bin100001001111100…
…000101101111100
31102212102211012012
4201033200231330
52120233324200
6131201430352
716551331133
oct4117405574
91385384165
10557714300
112668a7010
1213693b3b8
138b711880
14540da91a
1533e68a35
hex213e0b7c

557714300 has 144 divisors (see below), whose sum is σ = 1456490112. Its totient is φ = 182649600.

The previous prime is 557714263. The next prime is 557714309. The reversal of 557714300 is 3417755.

557714300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5577143002 = 622090480848980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557714309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614447 + ... + 615353.

Almost surely, 2557714300 is an apocalyptic number.

557714300 is a gapful number since it is divisible by the number (50) 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 557714300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728245056).

557714300 is an abundant number, since it is smaller than the sum of its proper divisors (898775812).

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

557714300 is a wasteful number, since it uses less digits than its factorization.

557714300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 557714300 is about 23615.9755250551. The cubic root of 557714300 is about 823.1340995776.

The spelling of 557714300 in words is "five hundred fifty-seven million, seven hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 43 44 50 52 55 65 86 100 110 130 143 172 215 220 260 275 286 325 430 473 550 559 572 650 715 860 907 946 1075 1100 1118 1300 1430 1814 1892 2150 2236 2365 2795 2860 3575 3628 4300 4535 4730 5590 6149 7150 9070 9460 9977 11180 11791 11825 12298 13975 14300 18140 19954 22675 23582 23650 24596 27950 30745 39001 39908 45350 47164 47300 49885 55900 58955 61490 78002 90700 99770 117910 122980 129701 153725 156004 195005 199540 235820 249425 259402 294775 307450 390010 429011 498850 507013 518804 589550 614900 648505 780020 858022 975025 997700 1014026 1179100 1297010 1716044 1950050 2028052 2145055 2535065 2594020 3242525 3900100 4290110 5070130 5577143 6485050 8580220 10140260 10725275 11154286 12675325 12970100 21450550 22308572 25350650 27885715 42901100 50701300 55771430 111542860 139428575 278857150 557714300