Search a number
-
+
426539520 = 2934511217
BaseRepresentation
bin11001011011000…
…111101000000000
31002201121110020000
4121123013220000
51333143231040
6110154120000
713366345311
oct3133075000
91081543200
10426539520
111a9852500
12baa20000
136a4a4464
1440912608
15276a7130
hex196c7a00

426539520 has 600 divisors, whose sum is σ = 1778019012. Its totient is φ = 97320960.

The previous prime is 426539513. The next prime is 426539521. The reversal of 426539520 is 25935624.

426539520 is a `hidden beast` number, since 4 + 265 + 395 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424030464 + 2509056 = 20592^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (426539521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25090552 + ... + 25090568.

Almost surely, 2426539520 is an apocalyptic number.

426539520 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 426539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889009506).

426539520 is an abundant number, since it is smaller than the sum of its proper divisors (1351479492).

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

426539520 is a wasteful number, since it uses less digits than its factorization.

426539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 426539520 is about 20652.8332196820. The cubic root of 426539520 is about 752.7540346789.

The spelling of 426539520 in words is "four hundred twenty-six million, five hundred thirty-nine thousand, five hundred twenty".