Search a number
-
+
5754564 = 223417761
BaseRepresentation
bin10101111100111011000100
3101211100210000
4111330323010
52433121224
6323201300
766625104
oct25747304
911740700
105754564
113280542
121b16230
13126638a
14a9b204
1578a0c9
hex57cec4

5754564 has 30 divisors (see below), whose sum is σ = 15044414. Its totient is φ = 1918080.

The previous prime is 5754547. The next prime is 5754571. The reversal of 5754564 is 4654575.

It is a happy number.

5754564 is a `hidden beast` number, since 57 + 545 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4588164 + 1166400 = 2142^2 + 1080^2 .

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

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 8557 + ... + 9204.

Almost surely, 25754564 is an apocalyptic number.

5754564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5754564 is an abundant number, since it is smaller than the sum of its proper divisors (9289850).

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

5754564 is a wasteful number, since it uses less digits than its factorization.

5754564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17777 (or 17766 counting only the distinct ones).

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

The square root of 5754564 is about 2398.8672326746. The cubic root of 5754564 is about 179.1997811036.

Subtracting from 5754564 its sum of digits (36), we obtain a triangular number (5754528 = T3392).

The spelling of 5754564 in words is "five million, seven hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 17761 35522 53283 71044 106566 159849 213132 319698 479547 639396 959094 1438641 1918188 2877282 5754564