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5761312 = 25435379
BaseRepresentation
bin10101111110100100100000
3101211201000221
4111332210200
52433330222
6323252424
766653554
oct25764440
911751027
105761312
113285617
121b1a114
13126947b
14a9d864
1578c0c7
hex57e920

5761312 has 48 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 2725632.

The previous prime is 5761297. The next prime is 5761321. The reversal of 5761312 is 2131675.

It is a super-2 number, since 2×57613122 = 66385431922688, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72889 + ... + 72967.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 25761312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5761312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

5761312 is an abundant number, since it is smaller than the sum of its proper divisors (6213728).

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

5761312 is a wasteful number, since it uses less digits than its factorization.

5761312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 5761312 is about 2400.2733177703. The cubic root of 5761312 is about 179.2697990212.

Adding to 5761312 its reverse (2131675), we get a palindrome (7892987).

The spelling of 5761312 in words is "five million, seven hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 53 79 86 106 158 172 212 316 344 424 632 688 848 1264 1376 1696 2279 2528 3397 4187 4558 6794 8374 9116 13588 16748 18232 27176 33496 36464 54352 66992 72928 108704 133984 180041 360082 720164 1440328 2880656 5761312