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557714352 = 243135771549
BaseRepresentation
bin100001001111100…
…000101110110000
31102212102211021010
4201033200232300
52120233324402
6131201430520
716551331236
oct4117405660
91385384233
10557714352
112668a7058
1213693b440
138b7118c0
14540da956
1533e68a6c
hex213e0bb0

557714352 has 80 divisors (see below), whose sum is σ = 1555282400. Its totient is φ = 171196416.

The previous prime is 557714351. The next prime is 557714363. The reversal of 557714352 is 253417755.

It is a happy number.

It is a super-2 number, since 2×5577143522 = 622090596853559808, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 557714352.

It is not an unprimeable number, because it can be changed into a prime (557714351) 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, 359274 + ... + 360822.

It is an arithmetic number, because the mean of its divisors is an integer number (19441030).

Almost surely, 2557714352 is an apocalyptic number.

557714352 is a gapful number since it is divisible by the number (52) 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 557714352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777641200).

557714352 is an abundant number, since it is smaller than the sum of its proper divisors (997568048).

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

557714352 is a wasteful number, since it uses less digits than its factorization.

557714352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2144 counting only the distinct ones).

The product of its digits is 147000, while the sum is 39.

The square root of 557714352 is about 23615.9766260047. The cubic root of 557714352 is about 823.1341251599.

The spelling of 557714352 in words is "five hundred fifty-seven million, seven hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 577 624 1154 1549 1731 2308 3098 3462 4616 4647 6196 6924 7501 9232 9294 12392 13848 15002 18588 20137 22503 24784 27696 30004 37176 40274 45006 60008 60411 74352 80548 90012 120016 120822 161096 180024 241644 322192 360048 483288 893773 966576 1787546 2681319 3575092 5362638 7150184 10725276 11619049 14300368 21450552 23238098 34857147 42901104 46476196 69714294 92952392 139428588 185904784 278857176 557714352