Search a number
-
+
425872980 = 2232513181997
BaseRepresentation
bin11001011000100…
…100111001010100
31002200100120220100
4121120210321110
51333010413410
6110131534100
713360601121
oct3130447124
91080316810
10425872980
111a9437745
12ba75a330
136a2ccc60
14407bb748
15275c48c0
hex19624e54

425872980 has 72 divisors (see below), whose sum is σ = 1391192712. Its totient is φ = 104829696.

The previous prime is 425872961. The next prime is 425873017. The reversal of 425872980 is 89278524.

425872980 is a `hidden beast` number, since 42 + 587 + 29 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17994564 + 407878416 = 4242^2 + 20196^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 88659 + ... + 93338.

It is an arithmetic number, because the mean of its divisors is an integer number (19322121).

Almost surely, 2425872980 is an apocalyptic number.

It is an amenable number.

425872980 is an abundant number, since it is smaller than the sum of its proper divisors (965319732).

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

425872980 is a wasteful number, since it uses less digits than its factorization.

425872980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182025 (or 182020 counting only the distinct ones).

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

The square root of 425872980 is about 20636.6901415901. The cubic root of 425872980 is about 752.3617285116.

The spelling of 425872980 in words is "four hundred twenty-five million, eight hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 181997 363994 545991 727988 909985 1091982 1637973 1819970 2183964 2365961 2729955 3275946 3639940 4731922 5459910 6551892 7097883 8189865 9463844 10919820 11829805 14195766 16379730 21293649 23659610 28391532 32759460 35489415 42587298 47319220 70978830 85174596 106468245 141957660 212936490 425872980