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425043600 = 243521272789
BaseRepresentation
bin11001010101011…
…010011010010000
31002121210110012120
4121111122122100
51332302343400
6110102054240
713350545112
oct3125323220
91077713176
10425043600
111a8a20603
12ba41a380
136a09c5b7
14406433b2
15274adca0
hex1955a690

425043600 has 120 divisors (see below), whose sum is σ = 1372769280. Its totient is φ = 112412160.

The previous prime is 425043589. The next prime is 425043601. The reversal of 425043600 is 6340524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (425043601) 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 23 ways as a sum of consecutive naturals, for example, 151006 + ... + 153794.

It is an arithmetic number, because the mean of its divisors is an integer number (11439744).

Almost surely, 2425043600 is an apocalyptic number.

425043600 is a gapful number since it is divisible by the number (40) 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 425043600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686384640).

425043600 is an abundant number, since it is smaller than the sum of its proper divisors (947725680).

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

425043600 is a wasteful number, since it uses less digits than its factorization.

425043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 425043600 is about 20616.5855562942. The cubic root of 425043600 is about 751.8730074525.

The spelling of 425043600 in words is "four hundred twenty-five million, forty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 127 150 200 240 254 300 381 400 508 600 635 762 1016 1200 1270 1524 1905 2032 2540 2789 3048 3175 3810 5080 5578 6096 6350 7620 8367 9525 10160 11156 12700 13945 15240 16734 19050 22312 25400 27890 30480 33468 38100 41835 44624 50800 55780 66936 69725 76200 83670 111560 133872 139450 152400 167340 209175 223120 278900 334680 354203 418350 557800 669360 708406 836700 1062609 1115600 1416812 1673400 1771015 2125218 2833624 3346800 3542030 4250436 5313045 5667248 7084060 8500872 8855075 10626090 14168120 17001744 17710150 21252180 26565225 28336240 35420300 42504360 53130450 70840600 85008720 106260900 141681200 212521800 425043600