Search a number
-
+
426553800 = 2335217193171
BaseRepresentation
bin11001011011001…
…011000111001000
31002201122011210220
4121123023013020
51333144210200
6110154310040
713366435041
oct3133130710
91081564726
10426553800
111a9862202
12baa28320
136a4aaaca
14409178c8
15276ab4a0
hex196cb1c8

426553800 has 384 divisors, whose sum is σ = 1542758400. Its totient is φ = 96768000.

The previous prime is 426553793. The next prime is 426553801. The reversal of 426553800 is 8355624.

It is not an unprimeable number, because it can be changed into a prime (426553801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6007765 + ... + 6007835.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2426553800 is an apocalyptic number.

426553800 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 426553800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

426553800 is an abundant number, since it is smaller than the sum of its proper divisors (1116204600).

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

426553800 is a wasteful number, since it uses less digits than its factorization.

426553800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 426553800 is about 20653.1789320676. The cubic root of 426553800 is about 752.7624350007.

The spelling of 426553800 in words is "four hundred twenty-six million, five hundred fifty-three thousand, eight hundred".