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425413300 = 2252132291429
BaseRepresentation
bin11001010110110…
…100101010110100
31002122111020100011
4121112310222310
51332401211200
6110114030004
713353645004
oct3126645264
91078436304
10425413300
111a9153344
12ba578304
136a19b960
14406dc004
15275335ba
hex195b4ab4

425413300 has 72 divisors (see below), whose sum is σ = 999198200. Its totient is φ = 156280320.

The previous prime is 425413273. The next prime is 425413333. The reversal of 425413300 is 3314524.

It can be written as a sum of positive squares in 12 ways, for example, as 189667984 + 235745316 = 13772^2 + 15354^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296986 + ... + 298414.

Almost surely, 2425413300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499599100).

425413300 is an abundant number, since it is smaller than the sum of its proper divisors (573784900).

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

425413300 is a wasteful number, since it uses less digits than its factorization.

425413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 425413300 is about 20625.5496896446. The cubic root of 425413300 is about 752.0909356042.

Adding to 425413300 its reverse (3314524), we get a palindrome (428727824).

The spelling of 425413300 in words is "four hundred twenty-five million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 229 260 325 458 650 916 1145 1300 1429 2290 2858 2977 4580 5716 5725 5954 7145 11450 11908 14290 14885 18577 22900 28580 29770 35725 37154 59540 71450 74308 74425 92885 142900 148850 185770 297700 327241 371540 464425 654482 928850 1308964 1636205 1857700 3272410 4254133 6544820 8181025 8508266 16362050 17016532 21270665 32724100 42541330 85082660 106353325 212706650 425413300