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557279112 = 2331310716693
BaseRepresentation
bin100001001101110…
…110011110001000
31102211121201020010
4201031312132020
52120130412422
6131144231520
716544536305
oct4115663610
91384551203
10557279112
1126662a055
1213676b5a0
138b5bb770
14540260ac
1533dceb0c
hex21376788

557279112 has 64 divisors (see below), whose sum is σ = 1514479680. Its totient is φ = 169857792.

The previous prime is 557279111. The next prime is 557279113. The reversal of 557279112 is 211972755.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (557279111) and next prime (557279113).

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

It is not an unprimeable number, because it can be changed into a prime (557279111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25038 + ... + 41730.

It is an arithmetic number, because the mean of its divisors is an integer number (23663745).

Almost surely, 2557279112 is an apocalyptic number.

557279112 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 557279112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757239840).

557279112 is an abundant number, since it is smaller than the sum of its proper divisors (957200568).

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

557279112 is a wasteful number, since it uses less digits than its factorization.

557279112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16822 (or 16818 counting only the distinct ones).

The product of its digits is 44100, while the sum is 39.

The square root of 557279112 is about 23606.7598793227. The cubic root of 557279112 is about 822.9199449490.

The spelling of 557279112 in words is "five hundred fifty-seven million, two hundred seventy-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2568 2782 4173 5564 8346 11128 16692 16693 33384 33386 50079 66772 100158 133544 200316 217009 400632 434018 651027 868036 1302054 1736072 1786151 2604108 3572302 5208216 5358453 7144604 10716906 14289208 21433812 23219963 42867624 46439926 69659889 92879852 139319778 185759704 278639556 557279112