Search a number
-
+
425191680 = 283551367
BaseRepresentation
bin11001010101111…
…110100100000000
31002122001222100000
4121111332210000
51332322113210
6110105200000
713352032614
oct3125764400
91078058300
10425191680
111a9011891
12ba490000
136a121b14
1440681344
15274dcac0
hex1957e900

425191680 has 216 divisors, whose sum is σ = 1526720832. Its totient is φ = 113301504.

The previous prime is 425191673. The next prime is 425191699. The reversal of 425191680 is 86191524.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310357 + ... + 311723.

It is an arithmetic number, because the mean of its divisors is an integer number (7068152).

Almost surely, 2425191680 is an apocalyptic number.

425191680 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 425191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763360416).

425191680 is an abundant number, since it is smaller than the sum of its proper divisors (1101529152).

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

425191680 is an equidigital number, since it uses as much as digits as its factorization.

425191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 425191680 is about 20620.1765268874. The cubic root of 425191680 is about 751.9603117729.

The spelling of 425191680 in words is "four hundred twenty-five million, one hundred ninety-one thousand, six hundred eighty".