Search a number
-
+
564435054 = 23517531289
BaseRepresentation
bin100001101001001…
…001100001101110
31110100002021100000
4201221021201232
52123443410204
6132001445130
716662422151
oct4151114156
91410067300
10564435054
1126a677457
121390407a6
138cc25951
1454d69c98
1534845039
hex21a4986e

564435054 has 96 divisors (see below), whose sum is σ = 1369236960. Its totient is φ = 173601792.

The previous prime is 564435049. The next prime is 564435059. The reversal of 564435054 is 450534465.

564435054 is a `hidden beast` number, since 5 + 644 + 3 + 5 + 0 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (564435049) and next prime (564435059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564435059) 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 47 ways as a sum of consecutive naturals, for example, 437242 + ... + 438530.

It is an arithmetic number, because the mean of its divisors is an integer number (14262885).

Almost surely, 2564435054 is an apocalyptic number.

564435054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 564435054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684618480).

564435054 is an abundant number, since it is smaller than the sum of its proper divisors (804801906).

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

564435054 is a wasteful number, since it uses less digits than its factorization.

564435054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 564435054 is about 23757.8419474497. The cubic root of 564435054 is about 826.4273077460.

The spelling of 564435054 in words is "five hundred sixty-four million, four hundred thirty-five thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 153 159 162 243 306 318 459 477 486 901 918 954 1289 1377 1431 1802 2578 2703 2754 2862 3867 4131 4293 5406 7734 8109 8262 8586 11601 12879 16218 21913 23202 24327 25758 34803 43826 48654 65739 68317 69606 72981 104409 131478 136634 145962 197217 204951 208818 218943 313227 394434 409902 437886 591651 614853 626454 1161389 1183302 1229706 1774953 1844559 2322778 3484167 3549906 3689118 5324859 5533677 6968334 10452501 10649718 11067354 16601031 20905002 31357503 33202062 62715006 94072509 188145018 282217527 564435054