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57418368 = 273741521
BaseRepresentation
bin1101101100001…
…0001010000000
311000001011012020
43123002022000
5104144341433
65410401440
71265022330
oct333021200
9130034166
1057418368
112a4582a7
1217290280
13bb84b87
1478a90c0
155092cb3
hex36c2280

57418368 has 128 divisors (see below), whose sum is σ = 178899840. Its totient is φ = 15974400.

The previous prime is 57418313. The next prime is 57418379. The reversal of 57418368 is 86381475.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109948 + ... + 110468.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 257418368 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 57418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89449920).

57418368 is an abundant number, since it is smaller than the sum of its proper divisors (121481472).

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

57418368 is a wasteful number, since it uses less digits than its factorization.

57418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 57418368 is about 7577.4908775927. The cubic root of 57418368 is about 385.7893917628.

The spelling of 57418368 in words is "fifty-seven million, four hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 521 574 656 672 861 896 984 1042 1148 1312 1344 1563 1722 1968 2084 2296 2624 2688 3126 3444 3647 3936 4168 4592 5248 6252 6888 7294 7872 8336 9184 10941 12504 13776 14588 15744 16672 18368 21361 21882 25008 27552 29176 33344 36736 42722 43764 50016 55104 58352 64083 66688 85444 87528 100032 110208 116704 128166 149527 170888 175056 200064 233408 256332 299054 341776 350112 448581 466816 512664 598108 683552 700224 897162 1025328 1196216 1367104 1400448 1794324 2050656 2392432 2734208 3588648 4101312 4784864 7177296 8202624 9569728 14354592 19139456 28709184 57418368