Search a number
-
+
426286560 = 25357172439
BaseRepresentation
bin11001011010001…
…001110111100000
31002201010121020010
4121122021313200
51333112132220
6110144444520
713364242650
oct3132116740
91081117203
10426286560
111a969a447
12ba919740
136a41628b
1440888360
15276571e0
hex19689de0

426286560 has 288 divisors, whose sum is σ = 1633927680. Its totient is φ = 91496448.

The previous prime is 426286541. The next prime is 426286561. The reversal of 426286560 is 65682624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426286561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970821 + ... + 971259.

It is an arithmetic number, because the mean of its divisors is an integer number (5673360).

Almost surely, 2426286560 is an apocalyptic number.

426286560 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 426286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816963840).

426286560 is an abundant number, since it is smaller than the sum of its proper divisors (1207641120).

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

426286560 is a wasteful number, since it uses less digits than its factorization.

426286560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 426286560 is about 20646.7082122066. The cubic root of 426286560 is about 752.6051978917.

The spelling of 426286560 in words is "four hundred twenty-six million, two hundred eighty-six thousand, five hundred sixty".