Search a number
-
+
5759056 = 241731683
BaseRepresentation
bin10101111110000001010000
3101211120221101
4111332001100
52433242211
6323234144
766644152
oct25760120
911746841
105759056
113283956
121b18954
131268434
14a9cad2
1578b5c1
hex57e050

5759056 has 40 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 2618880.

The previous prime is 5759011. The next prime is 5759059. The reversal of 5759056 is 6509575.

It is a super-2 number, since 2×57590562 = 66333452022272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8091 + ... + 8773.

Almost surely, 25759056 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 5759056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

5759056 is an abundant number, since it is smaller than the sum of its proper divisors (6454448).

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

5759056 is a wasteful number, since it uses less digits than its factorization.

5759056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 37.

The square root of 5759056 is about 2399.8033252748. The cubic root of 5759056 is about 179.2463966280.

The spelling of 5759056 in words is "five million, seven hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 683 1054 1366 2108 2732 4216 5464 8432 10928 11611 21173 23222 42346 46444 84692 92888 169384 185776 338768 359941 719882 1439764 2879528 5759056