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57081629 = 112471749
BaseRepresentation
bin1101100110111…
…1111100011101
310222102001021102
43121233330131
5104103103004
65355242445
71262120513
oct331577435
9128361242
1057081629
112a248300
1217149425
13ba97817
14781c4b3
15502811e
hex366ff1d

57081629 has 6 divisors (see below), whose sum is σ = 62742750. Its totient is φ = 51892280.

The previous prime is 57081617. The next prime is 57081637. The reversal of 57081629 is 92618075.

It can be written as a sum of positive squares in only one way, i.e., 35940025 + 21141604 = 5995^2 + 4598^2 .

It is not a de Polignac number, because 57081629 - 24 = 57081613 is a prime.

It is a super-3 number, since 3×570816293 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57081592 and 57081601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57081649) 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, 235754 + ... + 235995.

It is an arithmetic number, because the mean of its divisors is an integer number (10457125).

Almost surely, 257081629 is an apocalyptic number.

It is an amenable number.

57081629 is a deficient number, since it is larger than the sum of its proper divisors (5661121).

57081629 is a wasteful number, since it uses less digits than its factorization.

57081629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471771 (or 471760 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 57081629 is about 7555.2385137731. The cubic root of 57081629 is about 385.0337385399.

It can be divided in two parts, 5708 and 1629, that added together give a palindrome (7337).

The spelling of 57081629 in words is "fifty-seven million, eighty-one thousand, six hundred twenty-nine".

Divisors: 1 11 121 471749 5189239 57081629