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57434949 = 32112134057
BaseRepresentation
bin1101101100011…
…0001101000101
311000001222221100
43123012031011
5104200404244
65411010313
71265121555
oct333061505
9130058840
1057434949
112a469800
1217299999
13bb8c5a0
1478b1165
155097b69
hex36c6345

57434949 has 36 divisors (see below), whose sum is σ = 98227948. Its totient is φ = 32123520.

The previous prime is 57434941. The next prime is 57434957. The reversal of 57434949 is 94943475.

It is a happy number.

57434949 is a `hidden beast` number, since 574 + 34 + 9 + 49 = 666.

57434949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57434941) and next prime (57434957).

It can be written as a sum of positive squares in 2 ways, for example, as 18122049 + 39312900 = 4257^2 + 6270^2 .

It is not a de Polignac number, because 57434949 - 23 = 57434941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57434941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12129 + ... + 16185.

Almost surely, 257434949 is an apocalyptic number.

It is an amenable number.

57434949 is a deficient number, since it is larger than the sum of its proper divisors (40792999).

57434949 is a wasteful number, since it uses less digits than its factorization.

57434949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4084 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 57434949 is about 7578.5848942926. The cubic root of 57434949 is about 385.8265236568.

The spelling of 57434949 in words is "fifty-seven million, four hundred thirty-four thousand, nine hundred forty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4057 4719 12171 14157 36513 44627 52741 133881 158223 401643 474669 490897 580151 1472691 1740453 4418073 5221359 6381661 19144983 57434949