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57533056 = 27729173
BaseRepresentation
bin1101101101111…
…0001010000000
311000020222111221
43123132022000
5104212024211
65413044424
71266010600
oct333361200
9130228457
1057533056
112a526489
1217326714
13bbc5139
1478d8c00
1550b6c71
hex36de280

57533056 has 48 divisors (see below), whose sum is σ = 133344090. Its totient is φ = 24654336.

The previous prime is 57533033. The next prime is 57533057. The reversal of 57533056 is 65033575.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 379456 = 7560^2 + 616^2 .

It is not an unprimeable number, because it can be changed into a prime (57533057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1686 + ... + 10858.

Almost surely, 257533056 is an apocalyptic number.

57533056 is a gapful number since it is divisible by the number (56) 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 57533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66672045).

57533056 is an abundant number, since it is smaller than the sum of its proper divisors (75811034).

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

57533056 is an equidigital number, since it uses as much as digits as its factorization.

57533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9201 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 34.

The square root of 57533056 is about 7585.0547789716. The cubic root of 57533056 is about 386.0460807471.

The spelling of 57533056 in words is "fifty-seven million, five hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 9173 18346 36692 64211 73384 128422 146768 256844 293536 449477 513688 587072 898954 1027376 1174144 1797908 2054752 3595816 4109504 7191632 8219008 14383264 28766528 57533056