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5757138 = 2322941269
BaseRepresentation
bin10101111101100011010010
3101211111022100
4111331203102
52433212023
6323221230
766635442
oct25754322
911744270
105757138
113282472
121b17816
1312675ba
14a9c122
1578ac43
hex57d8d2

5757138 has 48 divisors (see below), whose sum is σ = 13267800. Its totient is φ = 1800960.

The previous prime is 5757137. The next prime is 5757139. The reversal of 5757138 is 8317575.

5757138 is a `hidden beast` number, since 57 + 571 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (5757137) and next prime (5757139).

It can be written as a sum of positive squares in 4 ways, for example, as 2082249 + 3674889 = 1443^2 + 1917^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5757131) 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 23 ways as a sum of consecutive naturals, for example, 21268 + ... + 21536.

Almost surely, 25757138 is an apocalyptic number.

5757138 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5757138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633900).

5757138 is an abundant number, since it is smaller than the sum of its proper divisors (7510662).

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

5757138 is a wasteful number, since it uses less digits than its factorization.

5757138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 344 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 5757138 is about 2399.4036759162. The cubic root of 5757138 is about 179.2264956372.

The spelling of 5757138 in words is "five million, seven hundred fifty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 269 369 522 538 738 807 1189 1614 2378 2421 3567 4842 7134 7801 10701 11029 15602 21402 22058 23403 33087 46806 66174 70209 99261 140418 198522 319841 639682 959523 1919046 2878569 5757138