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557241216 = 2737207307
BaseRepresentation
bin100001001101101…
…101001110000000
31102211112210020120
4201031231032000
52120123204331
6131143340240
716544320650
oct4115551600
91384483216
10557241216
11266603634
12136751680
138b5a743c
1454016360
1533dc3796
hex2136d380

557241216 has 64 divisors (see below), whose sum is σ = 1691633280. Its totient is φ = 159211008.

The previous prime is 557241203. The next prime is 557241221. The reversal of 557241216 is 612142755.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100966 + ... + 106341.

It is an arithmetic number, because the mean of its divisors is an integer number (26431770).

Almost surely, 2557241216 is an apocalyptic number.

557241216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

557241216 is an abundant number, since it is smaller than the sum of its proper divisors (1134392064).

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

557241216 is a wasteful number, since it uses less digits than its factorization.

557241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207331 (or 207319 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 557241216 is about 23605.9572142288. The cubic root of 557241216 is about 822.9012911719.

The spelling of 557241216 in words is "five hundred fifty-seven million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 207307 414614 621921 829228 1243842 1451149 1658456 2487684 2902298 3316912 4353447 4975368 5804596 6633824 8706894 9950736 11609192 13267648 17413788 19901472 23218384 26535296 34827576 39802944 46436768 69655152 79605888 92873536 139310304 185747072 278620608 557241216