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545412224 = 2771761587
BaseRepresentation
bin100000100000100…
…101010010000000
31102000021210220202
4200200211102000
52104111142344
6130042024332
716341633050
oct4040452200
91360253822
10545412224
1125a964305
121327a80a8
1388cc5236
1452617560
1532d3894e
hex20825480

545412224 has 128 divisors (see below), whose sum is σ = 1338664320. Its totient is φ = 216023040.

The previous prime is 545412211. The next prime is 545412229. The reversal of 545412224 is 422214545.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (545412229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928859 + ... + 929445.

It is an arithmetic number, because the mean of its divisors is an integer number (10458315).

Almost surely, 2545412224 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 545412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

545412224 is an abundant number, since it is smaller than the sum of its proper divisors (793252096).

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

545412224 is a wasteful number, since it uses less digits than its factorization.

545412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its digits is 12800, while the sum is 29.

The square root of 545412224 is about 23354.0622590589. The cubic root of 545412224 is about 817.0368084364.

Adding to 545412224 its reverse (422214545), we get a palindrome (967626769).

It can be divided in two parts, 54541 and 2224, that added together give a palindrome (56765).

The spelling of 545412224 in words is "five hundred forty-five million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 64 68 112 119 122 128 136 224 238 244 272 427 448 476 488 544 587 854 896 952 976 1037 1088 1174 1708 1904 1952 2074 2176 2348 3416 3808 3904 4109 4148 4696 6832 7259 7616 7808 8218 8296 9392 9979 13664 14518 15232 16436 16592 18784 19958 27328 29036 32872 33184 35807 37568 39916 54656 58072 65744 66368 69853 71614 75136 79832 116144 131488 132736 139706 143228 159664 232288 250649 262976 279412 286456 319328 464576 501298 525952 558824 572912 608719 638656 929152 1002596 1117648 1145824 1217438 1277312 2005192 2235296 2291648 2434876 4010384 4261033 4470592 4583296 4869752 8020768 8522066 8941184 9739504 16041536 17044132 19479008 32083072 34088264 38958016 68176528 77916032 136353056 272706112 545412224