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557065516 = 227243157421
BaseRepresentation
bin100001001101000…
…010010100101100
31102211012212020011
4201031002110230
52120102044031
6131135503004
716542656500
oct4115022454
91384185204
10557065516
112664a3627
12136687a64
138b545487
1453dac300
1533d8b6b1
hex2134252c

557065516 has 72 divisors (see below), whose sum is σ = 1170563856. Its totient is φ = 231154560.

The previous prime is 557065513. The next prime is 557065517. The reversal of 557065516 is 615560755.

It is a super-3 number, since 3×5570655163 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (557065511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322986 + ... + 1323406.

Almost surely, 2557065516 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 557065516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585281928).

557065516 is an abundant number, since it is smaller than the sum of its proper divisors (613498340).

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

557065516 is a wasteful number, since it uses less digits than its factorization.

557065516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 40.

The square root of 557065516 is about 23602.2354026054. The cubic root of 557065516 is about 822.8147942466.

The spelling of 557065516 in words is "five hundred fifty-seven million, sixty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 43 49 86 98 157 172 196 301 314 421 602 628 842 1099 1204 1684 2107 2198 2947 4214 4396 5894 6751 7693 8428 11788 13502 15386 18103 20629 27004 30772 36206 41258 47257 66097 72412 82516 94514 126721 132194 189028 253442 264388 330799 462679 506884 661598 887047 925358 1323196 1774094 1850716 2842171 3238753 3548188 5684342 6477506 11368684 12955012 19895197 39790394 79580788 139266379 278532758 557065516