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425720688 = 243191812579
BaseRepresentation
bin11001010111111…
…111101101110000
31002200001211222220
4121113333231300
51332441030223
6110124401040
713356365121
oct3127775560
91080054886
10425720688
111a9343288
12ba6a6180
136a278843
144077c048
15275946e3
hex195ffb70

425720688 has 80 divisors (see below), whose sum is σ = 1164508800. Its totient is φ = 133643520.

The previous prime is 425720677. The next prime is 425720693. The reversal of 425720688 is 886027524.

It is a happy number.

It is a Cunningham number, because it is equal to 206332-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163783 + ... + 166361.

It is an arithmetic number, because the mean of its divisors is an integer number (14556360).

Almost surely, 2425720688 is an apocalyptic number.

425720688 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 425720688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582254400).

425720688 is an abundant number, since it is smaller than the sum of its proper divisors (738788112).

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

425720688 is a wasteful number, since it uses less digits than its factorization.

425720688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 425720688 is about 20632.9999757670. Note that the first 4 decimals coincide. The cubic root of 425720688 is about 752.2720364060.

The spelling of 425720688 in words is "four hundred twenty-five million, seven hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 181 228 304 362 456 543 724 912 1086 1448 2172 2579 2896 3439 4344 5158 6878 7737 8688 10316 10317 13756 15474 20632 20634 27512 30948 41264 41268 49001 55024 61896 82536 98002 123792 147003 165072 196004 294006 392008 466799 588012 784016 933598 1176024 1400397 1867196 2352048 2800794 3734392 5601588 7468784 8869181 11203176 17738362 22406352 26607543 35476724 53215086 70953448 106430172 141906896 212860344 425720688