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6003442424 = 23717291012153
BaseRepresentation
bin1011001011101010…
…10100001011111000
3120111101112110210102
411211311110023320
544243340124144
62431414334532
7301525263410
oct54565241370
916441473712
106003442424
112600872171
1211b665a448
13748a028c5
1440d467640
152520b7b4e
hex165d542f8

6003442424 has 128 divisors (see below), whose sum is σ = 14237078400. Its totient is φ = 2313830400.

The previous prime is 6003442391. The next prime is 6003442433. The reversal of 6003442424 is 4242443006.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2787332 + ... + 2789484.

It is an arithmetic number, because the mean of its divisors is an integer number (111227175).

Almost surely, 26003442424 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 6003442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118539200).

6003442424 is an abundant number, since it is smaller than the sum of its proper divisors (8233635976).

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

6003442424 is a wasteful number, since it uses less digits than its factorization.

6003442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 6003442424 is about 77481.8844892146. The cubic root of 6003442424 is about 1817.4680430333.

The spelling of 6003442424 in words is "six billion, three million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 101 116 119 136 202 203 232 238 404 406 476 493 707 808 812 952 986 1414 1624 1717 1972 2153 2828 2929 3434 3451 3944 4306 5656 5858 6868 6902 8612 11716 12019 13736 13804 15071 17224 20503 23432 24038 27608 30142 36601 41006 48076 49793 60284 62437 73202 82012 96152 99586 120568 124874 146404 164024 199172 217453 249748 256207 292808 348551 398344 434906 437059 499496 512414 697102 869812 874118 1024828 1061429 1394204 1522171 1739624 1748236 2049656 2122858 2788408 3044342 3496472 3696701 4245716 6088684 6306137 7393402 7430003 8491432 12177368 12612274 14786804 14860006 25224548 25876907 29573608 29720012 44142959 50449096 51753814 59440024 88285918 103507628 107204329 176571836 207015256 214408658 353143672 428817316 750430303 857634632 1500860606 3001721212 6003442424