Search a number
-
+
426514240 = 2652934549
BaseRepresentation
bin11001011011000…
…001011101000000
31002201120011112201
4121123001131000
51333141423430
6110153402544
713366211515
oct3133013500
91081504481
10426514240
111a9835509
12baa09454
136a495ab9
144090730c
152769e8ca
hex196c1740

426514240 has 56 divisors (see below), whose sum is σ = 1019327400. Its totient is φ = 169986048.

The previous prime is 426514229. The next prime is 426514243. The reversal of 426514240 is 42415624.

It can be written as a sum of positive squares in 4 ways, for example, as 185395456 + 241118784 = 13616^2 + 15528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 426514199 and 426514208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426514243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91486 + ... + 96034.

It is an arithmetic number, because the mean of its divisors is an integer number (18202275).

Almost surely, 2426514240 is an apocalyptic number.

426514240 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 426514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509663700).

426514240 is an abundant number, since it is smaller than the sum of its proper divisors (592813160).

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

426514240 is a wasteful number, since it uses less digits than its factorization.

426514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 426514240 is about 20652.2211880466. The cubic root of 426514240 is about 752.7391630613.

Adding to 426514240 its reverse (42415624), we get a palindrome (468929864).

The spelling of 426514240 in words is "four hundred twenty-six million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 293 320 586 1172 1465 2344 2930 4549 4688 5860 9098 9376 11720 18196 18752 22745 23440 36392 45490 46880 72784 90980 93760 145568 181960 291136 363920 727840 1332857 1455680 2665714 5331428 6664285 10662856 13328570 21325712 26657140 42651424 53314280 85302848 106628560 213257120 426514240