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5745564 = 22321121319
BaseRepresentation
bin10101111010101110011100
3101210220102200
4111322232130
52432324224
6323051500
766556626
oct25725634
911726380
105745564
113274800
121b10b90
131262256
14a97c16
157875c9
hex57ab9c

5745564 has 54 divisors (see below), whose sum is σ = 15975960. Its totient is φ = 1739760.

The previous prime is 5745563. The next prime is 5745569. The reversal of 5745564 is 4655475.

It is a happy number.

5745564 is a `hidden beast` number, since 57 + 45 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5745563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3697 + ... + 5015.

Almost surely, 25745564 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 5745564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987980).

5745564 is an abundant number, since it is smaller than the sum of its proper divisors (10230396).

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

5745564 is a wasteful number, since it uses less digits than its factorization.

5745564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1335 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 5745564 is about 2396.9906132482. The cubic root of 5745564 is about 179.1063109725.

The spelling of 5745564 in words is "five million, seven hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1319 1452 2178 2638 3957 4356 5276 7914 11871 14509 15828 23742 29018 43527 47484 58036 87054 130581 159599 174108 261162 319198 478797 522324 638396 957594 1436391 1915188 2872782 5745564