Search a number
-
+
425413712 = 24171818641
BaseRepresentation
bin11001010110110…
…100110001010000
31002122111020220102
4121112310301100
51332401214322
6110114031532
713353646133
oct3126646120
91078436812
10425413712
111a9153689
12ba5785a8
136a19bbb9
14406dc21a
1527533792
hex195b4c50

425413712 has 40 divisors (see below), whose sum is σ = 877646952. Its totient is φ = 199065600.

The previous prime is 425413697. The next prime is 425413733. The reversal of 425413712 is 217314524.

It can be written as a sum of positive squares in 4 ways, for example, as 4999696 + 420414016 = 2236^2 + 20504^2 .

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 7 ways as a sum of consecutive naturals, for example, 44912 + ... + 53552.

Almost surely, 2425413712 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 425413712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438823476).

425413712 is an abundant number, since it is smaller than the sum of its proper divisors (452233240).

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

425413712 is a wasteful number, since it uses less digits than its factorization.

425413712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8841 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 425413712 is about 20625.5596772548. The cubic root of 425413712 is about 752.0911783966.

It can be divided in two parts, 425 and 413712, that multiplied together give a square (175827600 = 132602).

The spelling of 425413712 in words is "four hundred twenty-five million, four hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 724 1448 2896 3077 6154 8641 12308 17282 24616 34564 49232 69128 138256 146897 293794 587588 1175176 1564021 2350352 3128042 6256084 12512168 25024336 26588357 53176714 106353428 212706856 425413712