Search a number
-
+
426245820 = 22357111347151
BaseRepresentation
bin11001011001111…
…111111010111100
31002201001112100020
4121121333322330
51333104331240
6110143532140
713364013120
oct3131777274
91081045306
10426245820
111a9671880
12ba8ba050
136a400880
1440877580
152764a0d0
hex1967febc

426245820 has 384 divisors, whose sum is σ = 1647378432. Its totient is φ = 79488000.

The previous prime is 426245819. The next prime is 426245887. The reversal of 426245820 is 28542624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2822745 + ... + 2822895.

It is an arithmetic number, because the mean of its divisors is an integer number (4290048).

Almost surely, 2426245820 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 426245820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823689216).

426245820 is an abundant number, since it is smaller than the sum of its proper divisors (1221132612).

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

426245820 is a wasteful number, since it uses less digits than its factorization.

426245820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 426245820 is about 20645.7215906831. The cubic root of 426245820 is about 752.5812217565.

The spelling of 426245820 in words is "four hundred twenty-six million, two hundred forty-five thousand, eight hundred twenty".