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425214400 = 26521320443
BaseRepresentation
bin11001010110000…
…100000111000000
31002122010010111111
4121112010013000
51332323330100
6110105453104
713352156062
oct3126040700
91078103444
10425214400
111a9027966
12ba4a1194
136a12c270
1440689732
15274e46ba
hex195841c0

425214400 has 84 divisors (see below), whose sum is σ = 1126832392. Its totient is φ = 156994560.

The previous prime is 425214373. The next prime is 425214407. The reversal of 425214400 is 4412524.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425214407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10579 + ... + 31021.

Almost surely, 2425214400 is an apocalyptic number.

425214400 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 425214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563416196).

425214400 is an abundant number, since it is smaller than the sum of its proper divisors (701617992).

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

425214400 is a wasteful number, since it uses less digits than its factorization.

425214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20478 (or 20463 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 425214400 is about 20620.7274362472. The cubic root of 425214400 is about 751.9737051316.

Adding to 425214400 its reverse (4412524), we get a palindrome (429626924).

The spelling of 425214400 in words is "four hundred twenty-five million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20443 20800 40886 81772 102215 163544 204430 265759 327088 408860 511075 531518 654176 817720 1022150 1063036 1308352 1328795 1635440 2044300 2126072 2657590 3270880 4088600 4252144 5315180 6541760 6643975 8177200 8504288 10630360 13287950 16354400 17008576 21260720 26575900 32708800 42521440 53151800 85042880 106303600 212607200 425214400