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425279880 = 233254128813
BaseRepresentation
bin11001010110010…
…100000110001000
31002122020110022200
4121112110012020
51332332424010
6110111120200
713352551014
oct3126240610
91078213280
10425279880
111a9072083
12ba513060
136a152ccc
14406a5544
1527508cc0
hex19594188

425279880 has 96 divisors (see below), whose sum is σ = 1415919960. Its totient is φ = 110638080.

The previous prime is 425279851. The next prime is 425280001. The reversal of 425279880 is 88972524.

425279880 is a `hidden beast` number, since 42 + 527 + 9 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150847524 + 274432356 = 12282^2 + 16566^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 354 + ... + 29166.

Almost surely, 2425279880 is an apocalyptic number.

425279880 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 425279880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707959980).

425279880 is an abundant number, since it is smaller than the sum of its proper divisors (990640080).

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

425279880 is a wasteful number, since it uses less digits than its factorization.

425279880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28871 (or 28864 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 425279880 is about 20622.3150979709. The cubic root of 425279880 is about 752.0123026884.

The spelling of 425279880 in words is "four hundred twenty-five million, two hundred seventy-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 28813 57626 86439 115252 144065 172878 230504 259317 288130 345756 432195 518634 576260 691512 864390 1037268 1152520 1181333 1296585 1728780 2074536 2362666 2593170 3457560 3543999 4725332 5186340 5906665 7087998 9450664 10372680 10631997 11813330 14175996 17719995 21263994 23626660 28351992 35439990 42527988 47253320 53159985 70879980 85055976 106319970 141759960 212639940 425279880