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57050112 = 210372379
BaseRepresentation
bin1101100110100…
…0010000000000
310222100110001010
43121220100000
5104101100422
65354440520
71261626600
oct331502000
9128313033
1057050112
112a226659
1217133140
13ba86382
147810c00
15501db0c
hex3668400

57050112 has 132 divisors (see below), whose sum is σ = 177352080. Its totient is φ = 16257024.

The previous prime is 57050093. The next prime is 57050129. The reversal of 57050112 is 21105075.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150339 + ... + 150717.

Almost surely, 257050112 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 57050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88676040).

57050112 is an abundant number, since it is smaller than the sum of its proper divisors (120301968).

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

57050112 is a wasteful number, since it uses less digits than its factorization.

57050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 57050112 is about 7553.1524544391. The cubic root of 57050112 is about 384.9628614314.

Adding to 57050112 its reverse (21105075), we get a palindrome (78155187).

The spelling of 57050112 in words is "fifty-seven million, fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 379 384 392 448 512 588 672 758 768 784 896 1024 1137 1176 1344 1516 1536 1568 1792 2274 2352 2653 2688 3032 3072 3136 3584 4548 4704 5306 5376 6064 6272 7168 7959 9096 9408 10612 10752 12128 12544 15918 18192 18571 18816 21224 21504 24256 25088 31836 36384 37142 37632 42448 48512 50176 55713 63672 72768 74284 75264 84896 97024 111426 127344 145536 148568 150528 169792 194048 222852 254688 291072 297136 339584 388096 445704 509376 582144 594272 679168 891408 1018752 1164288 1188544 1358336 1782816 2037504 2377088 2716672 3565632 4075008 4754176 7131264 8150016 9508352 14262528 19016704 28525056 57050112