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425308128 = 25374911289
BaseRepresentation
bin11001010110011…
…010111111100000
31002122021220001220
4121112122333200
51332334330003
6110111455040
713353026250
oct3126327740
91078256056
10425308128
111a9091323
12ba527480
136a162b1b
14406b1960
1527512353
hex1959afe0

425308128 has 96 divisors (see below), whose sum is σ = 1279514880. Its totient is φ = 121175040.

The previous prime is 425308109. The next prime is 425308139. The reversal of 425308128 is 821803524.

It is a Cunningham number, because it is equal to 206232-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329308 + ... + 330596.

It is an arithmetic number, because the mean of its divisors is an integer number (13328280).

Almost surely, 2425308128 is an apocalyptic number.

425308128 is a gapful number since it is divisible by the number (48) 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 425308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639757440).

425308128 is an abundant number, since it is smaller than the sum of its proper divisors (854206752).

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

425308128 is a wasteful number, since it uses less digits than its factorization.

425308128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 425308128 is about 20622.9999757552. Note that the first 4 decimals coincide. The cubic root of 425308128 is about 752.0289524088.

The spelling of 425308128 in words is "four hundred twenty-five million, three hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 491 672 982 1289 1473 1964 2578 2946 3437 3867 3928 5156 5892 6874 7734 7856 9023 10311 10312 11784 13748 15468 15712 18046 20622 20624 23568 27069 27496 30936 36092 41244 41248 47136 54138 54992 61872 72184 82488 108276 109984 123744 144368 164976 216552 288736 329952 433104 632899 866208 1265798 1898697 2531596 3797394 4430293 5063192 7594788 8860586 10126384 13290879 15189576 17721172 20252768 26581758 30379152 35442344 53163516 60758304 70884688 106327032 141769376 212654064 425308128