Search a number
-
+
57007053 = 3218013517
BaseRepresentation
bin1101100101110…
…1101111001101
310222021020222100
43121131233031
5104043211203
65353505313
71261360215
oct331355715
9128236870
1057007053
112a1a7274
1217112239
13ba6c8ac
1477dd245
155010ea3
hex365dbcd

57007053 has 12 divisors (see below), whose sum is σ = 82412668. Its totient is φ = 37972800.

The previous prime is 57007043. The next prime is 57007057. The reversal of 57007053 is 35070075.

It can be written as a sum of positive squares in 2 ways, for example, as 33212169 + 23794884 = 5763^2 + 4878^2 .

It is not a de Polignac number, because 57007053 - 25 = 57007021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57007057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14451 + ... + 17967.

Almost surely, 257007053 is an apocalyptic number.

It is an amenable number.

57007053 is a deficient number, since it is larger than the sum of its proper divisors (25405615).

57007053 is a wasteful number, since it uses less digits than its factorization.

57007053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 57007053 is about 7550.3015171581. The cubic root of 57007053 is about 384.8659858522.

The spelling of 57007053 in words is "fifty-seven million, seven thousand, fifty-three".

Divisors: 1 3 9 1801 3517 5403 10551 16209 31653 6334117 19002351 57007053