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425136420 = 2232518113049
BaseRepresentation
bin11001010101110…
…001000100100100
31002121222011112100
4121111301010210
51332313331140
6110104052100
713351412532
oct3125610444
91077864470
10425136420
111a8a84315
12ba464030
136a102917
1440669152
15274cb530
hex19571124

425136420 has 72 divisors (see below), whose sum is σ = 1296804600. Its totient is φ = 112734720.

The previous prime is 425136403. The next prime is 425136443. The reversal of 425136420 is 24631524.

425136420 is a `hidden beast` number, since 4 + 2 + 5 + 13 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 425019456 = 342^2 + 20616^2 .

It is a super-2 number, since 2×4251364202 = 361481951220832800, which contains 22 as substring.

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, 26056 + ... + 39104.

It is an arithmetic number, because the mean of its divisors is an integer number (18011175).

Almost surely, 2425136420 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 425136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648402300).

425136420 is an abundant number, since it is smaller than the sum of its proper divisors (871668180).

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

425136420 is a wasteful number, since it uses less digits than its factorization.

425136420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13245 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 425136420 is about 20618.8365336165. The cubic root of 425136420 is about 751.9277342092.

Adding to 425136420 its reverse (24631524), we get a palindrome (449767944).

The spelling of 425136420 in words is "four hundred twenty-five million, one hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 13049 16290 26098 32580 39147 52196 65245 78294 117441 130490 156588 195735 234882 260980 391470 469764 587205 782940 1174410 2348820 2361869 4723738 7085607 9447476 11809345 14171214 21256821 23618690 28342428 35428035 42513642 47237380 70856070 85027284 106284105 141712140 212568210 425136420