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544402944 = 293413127
BaseRepresentation
bin100000011100101…
…110111000000000
31101221101112110000
4200130232320000
52103331343234
6130004240000
716330230411
oct4034567000
91357345400
10544402944
1125a334a98
121323a0000
1388a30a27
1452433808
1532bd9899
hex2072ee00

544402944 has 100 divisors (see below), whose sum is σ = 1625023224. Its totient is φ = 181453824.

The previous prime is 544402933. The next prime is 544402949. The reversal of 544402944 is 449204445.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 544402899 and 544402908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544402949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34909 + ... + 48035.

Almost surely, 2544402944 is an apocalyptic number.

544402944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812511612).

544402944 is an abundant number, since it is smaller than the sum of its proper divisors (1080620280).

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

544402944 is an equidigital number, since it uses as much as digits as its factorization.

544402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13157 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 544402944 is about 23332.4440211479. Note that the first 3 decimals coincide. The cubic root of 544402944 is about 816.5325243695.

The spelling of 544402944 in words is "five hundred forty-four million, four hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13127 13824 20736 26254 39381 41472 52508 78762 105016 118143 157524 210032 236286 315048 354429 420064 472572 630096 708858 840128 945144 1063287 1260192 1417716 1680256 1890288 2126574 2520384 2835432 3360512 3780576 4253148 5040768 5670864 6721024 7561152 8506296 10081536 11341728 15122304 17012592 20163072 22683456 30244608 34025184 45366912 60489216 68050368 90733824 136100736 181467648 272201472 544402944